All Stories

  1. The travelling wave solutions of the Aizhan-Gudekli-Nurshuak-Zhanbota equation and its numerical treatment
  2. Influenza dynamics with hospitalization: stability, sensitivity, NSFD simulation, and integral sliding mode control
  3. Novel exact soliton solutions and bifurcation analysis of extended (2+1)-dimensional nonlinear Schrödinger equation with third-order dispersion using analytical powerful technique
  4. Kudryashov’s Quintuple power-law in magneto-optic waveguides: analytical solutions and dynamical characterization
  5. Dynamical analysis of the (3+1)-dimensional extended Kairat-X equation: analysing the interaction paradigms
  6. Qualitative study with optical solitons and vortex structures of two-dimensional vector nonlinear Schrödinger equation in weakly nonlinear waveguides
  7. Event-Driven Average Estimation with Dispersion-Tolerant Poisson–Inverse Gaussian Approach
  8. New types of the traveling wave and numerical solutions for the modified (3+1)-dimensional Sakovich equation
  9. Analyzing sensitivity and modulation instability with solitary wave solutions of coupled Higgs equation describing nucleons–mesons interaction
  10. Nonlinear dynamics of optical solitons to the (2 + 1)-dimensional stochastic coupled nonlinear Schrödinger system with multiplicative white noise
  11. Modulation Instability and Abundant Exact Solitons to the Fractional Mathematical Physics Model Through Two Distinct Methods
  12. Advanced techniques for analyzing solitary wave solutions of the generalized fractional Kundu–Mukherjee–Naskar model
  13. New Dissipative Solitons Arising in a Dual-Waveguide Lattice Laser Radiation Propagation Model with Linear Gain and Nonlinear Losses
  14. Soliton dynamics related to the stochastic Gross–Pitaevskii equation in the presence of random fluctuations
  15. Novel exact solutions to the fractional PKP equation via mathematical methods
  16. On the exact traveling wave solutions to the Akbota-Gudekli-Kairat-Zhaidary equation and its numerical solutions
  17. Envelope solitons and wave structures in the (2+1)-dimensional KP equation
  18. Discovery of exact solitons to the fractional KP-MEW equation with stability analysis
  19. New performances to the perturbed rotation dynamics of the two-dimensional homogeneous Bose–Einstein condensates
  20. Dynamical analysis, chaos and multistability of the resonant third-order nonlinear Schrödinger equation through phase portraits
  21. Exploring solitary wave solutions of extended Sakovich equations: A focus on nonlinear science
  22. Solitary wave solutions of the nonlinear fractional soliton neuron model via application of five mathematical methods
  23. Exploration of Soliton Solutions to the Special Korteweg–De Vries Equation with a Stability Analysis and Modulation Instability
  24. Retrieval of optical soliton patterns for time-fractional nonlinear Schrödinger equation integrating Kudryashov’s law of refractive index with dual form of nonlocal nonlinearity
  25. New dynamics performance for established dark solitons in polariton condensate
  26. Multi-stability and dynamical analysis of Zhanbota-IIA equation with couple of integrating architectures
  27. New Abundant Analytical Solitons to the Fractional Mathematical Physics Model via Three Distinct Schemes
  28. Stability analysis, modulation instability, and the analytical wave solitons to the fractional Boussinesq-Burgers system
  29. New diverse types of the soliton arising from the integrable Kuralay equations against its numerical solutions
  30. Dynamical analysis and soliton solutions of a variety of quantum nonlinear Zakharov–Kuznetsov models via three analytical techniques
  31. A diverse array of optical solitons of generalized nonlinear dispersive mK(m,n) model
  32. Analysis of the(3+1)-Dimensional Fractional Kadomtsev–Petviashvili–Boussinesq Equation: Solitary, Bright, Singular, and Dark Solitons
  33. Mathematical analysis of isothermal study of reverse roll coating using Micropolar fluid
  34. Diverse solitary wave structures to the conformable time fractional equations through two powerful methods
  35. Stability analysis and soliton solutions of the (1+1)-dimensional nonlinear chiral Schrödinger equation in nuclear physics
  36. Novel exact traveling wave solutions of Newton-Schrödinger system using Nucci reduction and Sardar sub-equation methods
  37. The Double-Hump Soliton Solutions of the Coupled Manakov Equations in Fiber Lasers
  38. Integrability, Similarity Reductions and New Classes of Exact Solutions for (3+1)-D Potential Yu–Toda–Sasa–Fukuyama Equation
  39. On some solitonic wave structures for the (3+1)-dimensional nonlinear Gardner–Kadomtsov–Petviashvili equation
  40. Exact analytical soliton solutions of the M-fractional Akbota equation
  41. Novel exact wave solutions of the (4+1)-dimensional Boiti–Leon–Manna–Pempinelli model via application of three mathematical methods
  42. Lump, periodic, travelling, semi-analytical solutions and stability analysis for the Ito integro-differential equation arising in shallow water waves
  43. Dynamical analysis and extraction of solitonic structures of a novel model in shallow water waves
  44. On some novel solitonic structures for the Zhiber–Shabat model in modern physics
  45. Construction of new wave structures and stability analysis for the nonlinear Klein-Gordon equation
  46. Novel solitary waves solutions of the extended cubic(3+1)-dimensional Schr$$\ddot{o}$$dinger equation via applications of three mathematical methods
  47. Stability, modulation instability and explicit-analytical solutions for the Hamiltonian amplitude equation
  48. THE PAUL-PAINLEVÉ APPROACH OF THE BLACK SCHOLES MODEL AND ITS EXACT AND NUMERICAL SOLUTIONS
  49. Impact of truncated M-fractional derivative on the new types of exact solitons to the (4+1)-dimensional DSKP model
  50. New soliton solutions of M-fractional Westervelt model in ultrasound imaging via two analytical techniques
  51. Exact wave solutions of new generalized Bogoyavlensky–Konopelchenko model in fluid mechanics
  52. New optical wave solutions of M-fractional nonlinear Schrödinger’s complex hyperbolic model by an efficient method
  53. Unique soliton solutions to the nonlinear Schrödinger equation with weak non-locality and cubic–quintic–septic nonlinearity in nonlinear optical fibers
  54. Effective analytical solutions versus numerical treatments of Chavy-Waddy-Kolokolnikov bacterial aggregates model in phototaxic
  55. The nonlinear wave dynamics of the space-time fractional van der Waals equation via three analytical methods
  56. Effect of truncated M-fractional derivative on the new exact solitons to the Shynaray-IIA equation and stability analysis
  57. New expectations to soliton arising from the (2+1)-dimensional generalized coupled nonlinear Schrödinger equation with four waves mixing via three different techniques
  58. Accurate perceptions of the bright and dark soliton solutions to the modified nonlinear Schrödinger equation
  59. Analytic Solutions of Fractal and Fractional Time Derivative- Burgers-Nagumo Equation
  60. Stability, modulation instability and wave solutions of time-fractional perturbed nonlinear Schrödinger model
  61. M-Fractional soliton solutions of fifth order generalized nonlinear fractional differential equation via (G′/G 2 )-expansion method
  62. A variety of optical wave solutions to space–time fractional perturbed Kundu–Eckhaus model with full non-linearity
  63. Exact solutions of the (3+1)-generalized fractional nonlinear wave equation with gas bubbles
  64. Investigation of soliton solutions to the truncated M-fractional (3+1)-dimensional Gross-Pitaevskii equation with periodic potential
  65. The new soliton solution types to the Myrzakulov-Lakshmanan-XXXII-equation
  66. On the solitonic wave structures for the perturbed nonlinear Schrödinger equation arising in optical fibers
  67. Novel topological, non-topological, and more solitons of the generalized cubic p-system describing isothermal flux
  68. The dynamical structures of the Sharma–Tasso–Olver model in doubly dispersive medium
  69. Optical solitons of M-fractional nonlinear Schrödinger’s complex hyperbolic model by generalized Kudryashov method
  70. Exploring the new soliton solutions to the nonlinear M-fractional evolution equations in shallow water by three analytical techniques
  71. Optical soliton solutions to the perturbed biswas-milovic equation with kudryashov’s law of refractive index
  72. A variety of optical soliton solutions in closed-form of the nonlinear cubic quintic Schrödinger equations with beta derivative
  73. Exact Solutions of M-Fractional Kuralay Equation via Three Analytical Schemes
  74. Solitons to the time-fractional Radhakrishnan–Kundu–Lakshmanan equation with $$\beta$$ and M-truncated fractional derivatives: a comparative analysis
  75. Analytical wave solutions of an electronically and biologically important model via two efficient schemes
  76. New Soliton Solutions of M-fractional Westervelt Model in Ultrasound Imaging via Two Analytical Techniques
  77. New Types Of M-fractional Wave Solitons To The Mathematical Physics Model By Three Distinct Techniques
  78. A Variety of Optical Wave Solutions to Space-Time Fractional Perturbed Kundu-Eckhaus Model with Full Non-Linearity
  79. Solitons, Lumps, breathers and rouge wave solutions to the (3+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt model
  80. New unexpected variety of solitons arising from spatio-temporal dispersion (1+1)-dimensional Ito-equation
  81. Discovery of New Exact Wave Solutions to the M-Fractional Complex Three Coupled Maccari’s System by Sardar Sub-Equation Scheme
  82. Chirped optical solitons and stability analysis of the nonlinear Schrödinger equation with nonlinear chromatic dispersion
  83. Discovery of New ExactWave Solutions to the M-Fractional Complex Three Coupled Maccari’s System by Sardar Sub-Equation Scheme
  84. New solitary solutions to the nonlinear Schrödinger equation under the few-cycle pulse propagation property
  85. New optical soliton solutions for the (2+1) Fokas system via three techniques
  86. New extensions of (2+1)-dimensional BLMP models with soliton solutions
  87. Exploring the Analytical Solutions to the Economical Model via Three Different Methods
  88. New variety diverse solitary wave solutions to the DNA Peyrard–Bishop model
  89. New optical soliton solutions of the popularized anti-cubic nonlinear Schrödinger equation versus its numerical treatment
  90. Exact soliton solutions to the time-fractional Kudryashov model via an efficient analytical approach
  91. On assorted soliton wave solutions with the higher-order fractional Boussinesq–Burgers system
  92. Exact wave solutions and obliqueness of truncated M-fractional Heisenberg ferromagnetic spin chain model through two analytical techniques
  93. Exploration of new solitons solutions for the Fitzhugh–Nagumo-type equations with conformable derivatives
  94. New perceptions for the bright and dark soliton solutions to the modified nonlinear Schrödinger equation
  95. New impressive analytical optical soliton solutions to the Schrödinger–Poisson dynamical system against its numerical solutions
  96. New diverse variety analytical optical soliton solutions for two various models that are emerged from the perturbed nonlinear Schrödinger equation
  97. New diverse types of soliton solutions to the Radhakrishnan-Kundu-Lakshmanan equation
  98. New diverse soliton solutions for the coupled Konno-Oono equations
  99. Solitons solutions to the high-order dispersive cubic–quintic Schrödinger equation in optical fibers
  100. Solitary wave solutions of Fitzhugh–Nagumo-type equations with conformable derivatives
  101. Assorted hyperbolic and trigonometric function solutions of fractional equations with conformable derivative in shallow water
  102. Unexpected configurations for the optical solitons propagation in lossy fiber system with dispersion terms effect
  103. New impressive vision solitary wave solutions of the Bogoyavlenskii equation in comparison with its numerical solutions
  104. Assorted optical solitons of the cubic and cubic quintic nonlinear Schrödinger equation featuring beta derivative
  105. Dynamical Analysis of Nonlocalized Wave Solutions of 2 ...
  106. Soliton solutions to the generalized (1+1)-dimensional unstable space time-fractional nonlinear Schrödinger model
  107. Exact wave solutions of truncated M-fractional new hamiltonian amplitude equation through two analytical techniques
  108. New unexpected explicit optical soliton solutions to the perturbed Gerdjikov–Ivanov equation
  109. New unexpected soliton solutions to the generalized (2 + 1) Schrödinger equation with its four-mixing waves
  110. Investigation of Exact Solutions of M-fractional Ivancevic Option Pricing Model Based on Three Different Methods
  111. New impressive vision solitary wave solutions of the Bogoyavlenskii equation in comparison with its numerical solutions
  112. Enormous soliton solutions to a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation
  113. New impressive representations for the soliton behaviors arising from the (2+1)-Boussinesq equation
  114. Novel exact and solitary solutions of conformable Huxley equation with three effective methods
  115. Nonlinear dynamical wave structures of Zoomeron equation for population models
  116. Comparison between three distinct perceptions to the new solitary solutions of the generalized Hirota–Satsuma coupling KDV system
  117. New unexpected perceptions for the optical solitary wave solution to the cubic-order nonlinear Schrödinger equation
  118. Interaction between kink solitary wave and rogue wave, new periodic cross-kink wave solutions and other exact solutions to the (4 + 1)-dimensional BLMP model
  119. New impressive ideal optical soliton solutions to the space and time invariant nonlinear Schrödinger equation
  120. Analytical study of complex Ginzburg–Landau equation arising in nonlinear optics
  121. Abundant analytical optical soliton solutions to the integrable (3+1)-Boussinesq equations
  122. Reply on the Comment on Optical Soliton to Multi-Core (Coupling with all the neighbors) Directional Couplers and Modulation Instability
  123. New solitary wave and other exact solutions of the van der Waals normal form for granular materials
  124. Optical solitons of the (2+1)-dimensional Kundu-Mukherjee-Naskar equation with Lokal M-derivative
  125. Accurate impressive optical solitons to the nonlinear refractive index cubic–quartic through birefringent fibers
  126. New explicit and exact traveling waves solutions to the modified complex Ginzburg Landau equation
  127. New unexpected behavior to the soliton arising from the geophysical Korteweg–de Vries equation
  128. New-fashioned solitons of coupled nonlinear Maccari systems describing the motion of solitary waves in fluid flow
  129. On some new travelling wave structures to the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli model
  130. Impressive and accurate solutions to the generalized Fokas-Lenells model
  131. Optical solitons related to (2+1)-dimensional Kundu–Mukherjee–Naskar model using an innovative integration architecture
  132. Traveling-wave solutions of the Klein–Gordon equations with M-fractional derivative
  133. Chiral solitons with W-shaped and other profiles in (1 + 2) dimensions
  134. A Numerical Technique of the Time Fractional Gas Dynamics Equation Using Finite Element Approach with Cubic Hermit Element
  135. Accurate Impressive Optical Solitons For Nonlinear Refractive Index Cubic-Quartic through Birefringent Fibers
  136. New Explicit and Exact Traveling Waves Solutions To The Modified Complex Ginzburg Landau Equation
  137. Unexpected configurations for the optical solitons propagation in lossy fiber system with dispersion terms effect
  138. Construction of new exact solutions of the resonant fractional NLS equation with the extended Fan sub-equation method
  139. Abundant M-fractional optical solitons to the pertubed Gerdjikov–Ivanov equation treating the mathematical nonlinear optics
  140. Investigation on the Single and Multiple Dromions for Nonlinear Telegraph Equation in Electrical Transmission Line
  141. Multiple accurate-cubic optical solitons to the kerr-law and power-law nonlinear Schrödinger equation without the chromatic dispersion
  142. Analytic Solutions of Fractal and Fractional Time Derivative-Burgers–Nagumo Equation
  143. New private types for the cubic-quartic optical solitons in birefringent fibers in its four forms of nonlinear refractive index
  144. Dynamics of new optical solitons for the Triki–Biswas model using beta-time derivative
  145. Abundant M-Fractional Optical Solitons to the Pertubed Gerdjikov-Ivanov Equation Treating the Mathematical Nonlinear Optics
  146. Analytical study of two nonlinear Schrödinger equations via optical soliton solutions
  147. A variety of exact solutions of the (2+1)-dimensional modified Zakharov–Kuznetsov equation
  148. New impressive behavior of the exact solutions to the Benjamin-Bona-Mahony-Burgers equation with dual power-law nonlinearity against its numerical solution
  149. Exact and numerical solutions for the nanosoliton of ionic waves propagating through microtubules in living cells
  150. Apposite solutions to fractional nonlinear Schrödinger-type evolution equations occurring in quantum mechanics
  151. Optical solitons to a perturbed Gerdjikov-Ivanov equation using two different techniques
  152. New Private Types for the Cubic-Quartic Optical Solitons in Birefringent Fibers in Its Four Forms of Nonlinear Refractive Index
  153. Soliton solutions in the conformable (2+1)-dimensional chiral nonlinear Schrödinger equation
  154. Application of modified Mickens iteration procedure to a pendulum and the motion of a mass attached to a stretched elastic wire
  155. New multiple-different impressive perceptions for the solitary solution to the magneto-optic waveguides with anti-cubic nonlinearity
  156. Closed Form Solutions of the Perturbed GerdjikovIvanov Equation With Variable Coefficients
  157. Optical solitons for the decoupled nonlinear Schrödinger equation using Jacobi elliptic approach
  158. Computational solutions of the generalized Ito equation in nonlinear dispersive systems
  159. Multiple Accurate-Cubic Optical Solitons to the Kerr-Low and Power-low Nonlinear Schrodinger Equation without the Chromatic Dispersion
  160. Solitary wave solutions in two-Core optical fibers with coupling-coefficient dispersion and Kerr nonlinearity
  161. New Lump Solutions for Spatio-Temporal Dispersion (1+1)-Dimensional Ito-Equation
  162. New visions of the soliton solutions to the modified nonlinear Schrodinger equation
  163. DISPERSIVE SOLITARY WAVE SOLUTIONS OF COUPLING BOITI-LEON-PEMPINELLI SYSTEM USING TWO DIFFERENT METHODS
  164. New perception of the exact solutions of the 3D-fractional Wazwaz-Benjamin-Bona-Mahony (3D-FWBBM) equation
  165. New vision for the soliton solutions to the complex Hirota-dynamical model
  166. Optical soliton to multi-core (coupling with all the neighbors) directional couplers and modulation instability
  167. Investigation of solitons and mixed lump wave solutions with (3+1)
  168. Dynamical Behavior of Traveling Wave Solutions for a (2+1)-Dimensional Bogoyavlenskii Coupled System
  169. Optical soliton solutions of the thin-film ferro-electric materials equation according to the Painlevé approach
  170. Three distinct and impressive visions for the soliton solutions to the higher-order nonlinear Schrodinger equation
  171. Chirped W-shape bright, dark and other solitons solutions of a conformable fractional nonlinear Schrödinger’s equation in nonlinear optics
  172. Comparison between the new exact and numerical solutions of the Mikhailov–Novikov–Wang equation
  173. Bright and Singular Optical Solitons in Nonlinear Negative-Index Materials with Quadratic–Cubic Nonlinearity
  174. Fluctuation and Frequency of the Oscillators with Exponential Spring Using Accurate Approximate Analytical Solutions
  175. Optical soliton structure of the sub-10-fs-pulse propagation model
  176. On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion
  177. Optical solutions of cold bosonic atoms in a zig-zag optical lattice
  178. EXPLORING THE CONFORMABLE TIME-FRACTIONAL (3 + 1)-DIMENSIONAL MODIFIED KORTEWEG-DEVRIESZAKHAROV- KUZNETSOV EQUATION VIA THREE INTEGRATION SCHEMES
  179. Interaction properties of solitons for a couple of nonlinear evolution equations
  180. Soliton solutions of the (3 + 1)-dimensional Yu–Toda–Sassa–Fukuyama equation by the new approach and its numerical solutions
  181. The simplest equation approach for solving non-linear Tzitzéica type equations in non-linear optics
  182. Bright and dark soliton solutions for the complex Kundu-Eckhaus equation
  183. Optical solutions of the (2 + 1)-dimensional hyperbolic nonlinear Schrödinger equation using two different methods
  184. The conformable space–time fractional Fokas–Lenells equation and its optical soliton solutions based on three analytical schemes
  185. Analytical and semi‐analytical solutions for time‐fractional Cahn–Allen equation
  186. Optical soliton solutions to Biswas–Arshed model with truncated M-fractional derivative
  187. Exact and numerical solutions for the nano-soliton of ionic waves propagating through microtubules in living cells
  188. Abundant solitary wave solutions for the fractional coupled Jaulent–Miodek equations arising in applied physics
  189. New Travelling Wave Solution-Based New Riccati Equation for Solving KdV and Modified KdV Equations
  190. Painlevé approach and its applications to get new exact solutions of three biological models instead of its numerical solutions
  191. New imperssive regulations for the non-fractional order and the time-fractional order of the biological population models
  192. Analytical Behaviour of Travelling Wave Solutions to the Van der Waals Model
  193. New description for the bright, dark periodic solutions to the complex Hirota-dynamical model
  194. Exact optical solitons to the perturbed nonlinear Schrödinger equation with dual-power law of nonlinearity
  195. Propagation of the ultra-short femtosecond pulses and the rogue wave in an optical fiber
  196. Investigation for Optical Soliton Solutions of Two Nonlinear Schrödinger Equations via Two Concrete Finite Series Methods
  197. Optical soliton solutions to the (2+1)-dimensional Kundu–Mukherjee–Naskar equation
  198. New solitary waves for the Klein–Gordon–Zakharov equations
  199. New closed form solutions of the new coupled Konno–Oono equation using the new extended direct algebraic method
  200. Improved tanΦ(ξ)2$\tan \left (\frac {\Phi (\xi )}{2}\right )$-Expansion Approach for Burgers Equation in Nonlinear Dynamical Model of Ion Acoustic Waves
  201. New soliton solutions for resonant nonlinear Schrödinger’s equation having full nonlinearity
  202. Abundant traveling wave solutions to the resonant nonlinear Schrödinger’s equation with variable coefficients
  203. Investigation of soliton solutions with different wave structures to the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation
  204. Exploring the dark and singular soliton solutions of Biswas–Arshed model with full nonlinear form
  205. Exact solutions of the conformable fractional EW and MEW equations by a new generalized expansion method
  206. Soliton solutions in different classes for the Kaup–Newell model equation
  207. New exact solutions for Chan-Hilliard equation by new sub-equation method
  208. Explicit solutions of the (2 + 1)-dimensional Hirota–Maccari system arising in nonlinear optics
  209. Analytical solution for differential nonlinear and coupled equations in micropolar nanofluid flow between rotating parallel plates
  210. New approach to model coupled nerve fibers and exact solutions of the system
  211. The Functional Variable Method to Find New Exact Solutions of the Nonlinear Evolution Equations with Dual-Power-Law Nonlinearity
  212. New Optical Soliton Solutions of the Perturbed Fokas-Lenells Equation
  213. Fractional Sine–Gordon Equation Approach to the Coupled Higgs System Defined in Time-Fractional Form
  214. Exact solutions of $$(3+1)$$(3+1)-dimensional fractional mKdV equations in conformable form via $$\exp (-\phi (\tau ))$$exp(-ϕ(τ)) expansion method
  215. Exact traveling wave solutions of density-dependent conformable space–time-fractional diffusion–reaction equation with quadratic nonlinearity
  216. Optical solitons for the two forms of Biswas–Arshed equation
  217. Study on Fractional Differential Equations with Modified Riemann–Liouville Derivative via Kudryashov Method
  218. Oblique optical solutions of mitigating internet bottleneck with quadratic-cubic nonlinearity
  219. Solitary Wave Solutions of Nonlinear Conformable Time-Fractional Boussinesq Equations
  220. A sub-equation method for solving the cubic–quartic NLSE with the Kerr law nonlinearity
  221. The extended modified method applied to optical solitons solutions in birefringent fibers with weak nonlocal nonlinearity and four wave mixing
  222. New wave form solutions of nonlinear conformable time-fractional Zoomeron equation in (2 + 1)-dimensions
  223. An effective technique for the conformable space-time fractional EW and modified EW equations
  224. Application of the ITEM for solving three nonlinear evolution equations arising in fluid mechanics
  225. A variety of exact solutions to (2+1)-dimensional schrödinger equation
  226. Soliton Solutions for the Time Fractional Hamiltonian System by Various Approaches
  227. Soliton Solutions for the Time Fractional Hamiltonian System by Various Approaches
  228. Density-Dependent Conformable Space-time Fractional Diffusion-Reaction Equation and Its Exact Solutions
  229. ON THE EXACT SOLUTIONS AND CONSERVATION LAWS TO THE BENJAMIN-ONO EQUATION
  230. On a new technique for solving the nonlinear conformable time-fractional differential equations
  231. The Exp-function method for solving nonlinear space–time fractional differential equations in mathematical physics
  232. A simple technique for constructing exact solutions to nonlinear differential equations with conformable fractional derivative
  233. New exact solutions of some nonlinear evolution equations of pseudoparabolic type
  234. Exact solutions to the time-fractional differential equations via local fractional derivatives
  235. The exp-function method for some time-fractional differential equations
  236. Analytical approach for space–time fractional Klein–Gordon equation
  237. New exact traveling wave solutions of the Tzitzéica-type evolution equations arising in non-linear optics
  238. Exact solutions of nonlinear conformable time-fractional Boussinesq equations using the $$\exp \left( { - \phi \left( \varepsilon \right)} \right)$$ ...
  239. Construction of exact solutions to the space–time fractional differential equations via new approach
  240. New exact solutions of the conformable time-fractional Cahn–Allen and Cahn–Hilliard equations using the modified Kudryashov method
  241. Dark Soliton Solutions of Space-Time Fractional Sharma–Tasso–Olver and Potential Kadomtsev–Petviashvili Equations
  242. Tanh-type and sech-type solitons for some space-time fractional PDE models
  243. A family of exact travelling wave solutions of (2+1)-dimensional KdV4 equation
  244. A novel generalized Kudryashov method for exact solutions of nonlinear evolution equations
  245. Multiple scales analysis and travelling wave solutions for KdV type nonlinear evolution equations
  246. Singular 1-soliton solution of the nonlinear variable-coefficient diffusion reaction and mKdV equations
  247. Soliton solution and other solutions to a nonlinear fractional differential equation
  248. The (G′/G)-expansion method for the nonlinear time fractional differential equations
  249. The Auto-Bäcklund transformations for the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
  250. Symbolic computation and abundant travelling wave solutions to KdV–mKdV equation
  251. Auxiliary Equation Method for Fractional Differential Equations with Modified Riemann–Liouville Derivative
  252. Comparison between the generalized tanh–coth and the (G′/G)-expansion methods for solving NPDEs and NODEs
  253. A novel analytical method for time-fractional differential equations
  254. Analytical solutions with the improved (G’/G)-expansion method for nonlinear evolution equations
  255. Exact solutions of some fractional differential equations by various expansion methods
  256. Two reliable methods for solving the time fractional Clannish Random Walker's Parabolic equation
  257. Soliton solutions of (2+1)-dimensional time-fractional Zoomeron equation
  258. Dynamical analysis of the avian–human influenza epidemic model using multistage analytical method
  259. Method of Multiple Scales and Travelling Wave Solutions for (2+1)-Dimensional KdV Type Nonlinear Evolution Equations
  260. A novel method for nonlinear fractional differential equations using symbolic computation
  261. Complexiton solutions for two nonlinear partial differential equations via modification of simplified Hirota method
  262. Solitary wave solutions of the (2+1)-dimensional Zakharov-Kuznetsevmodified equal-width equation
  263. The modified simple equation method for solving some fractional-order nonlinear equations
  264. A generalized Kudryashov method to some nonlinear evolution equations in mathematical physics
  265. Exponential rational function method for solving nonlinear equations arising in various physical models
  266. Solving Space-Time Fractional Differential Equations by Using Modified Simple Equation Method
  267. Singular 1-soliton and Periodic Solutions to the Nonlinear Fisher-Type Equation with Time-Dependent Coefficients
  268. Bright and dark soliton solutions for some nonlinear fractional differential equations
  269. Different methods for (3+1)-dimensional space–time fractional modified KdV–Zakharov–Kuznetsov equation
  270. On the concept of exact solution for nonlinear differential equations of fractional-order
  271. Exact Solutions for Fractional Differential-Difference Equations by (G'/G)-Expansion Method with Modified Riemann-Liouville Derivative
  272. Exponential rational function method for space–time fractional differential equations
  273. Regarding on the exact solutions for the nonlinear fractional differential equations
  274. APPLICATION OF A NEW ANALYTICAL METHOD FOR THE RICHARDS' EQUATION, BASED ON THE BROOKS AND COREY MODEL
  275. Exact solutions of the (3+1)-dimensional space-time fractional Jimbo-Miwa equation
  276. Optical soliton solutions of nonlinear evolution equations using ansatz method
  277. Various methods for solving time fractional KdV-Zakharov-Kuznetsov equation
  278. APPLICATIONS OF FRACTIONAL COMPLEX TRANSFORM AND (G'/G)-EXPANSION METHOD FOR TIME-FRACTIONAL DIFFERENTIAL EQUATIONS
  279. Optical soliton solutions for the variable coefficient modified Kawahara equation
  280. Exact solutions of nonlinear Schrödinger equation by using symbolic computation
  281. Application of the Subequation Method to Some Differential Equations of Time-Fractional Order
  282. A variety of exact solutions for the time fractional Cahn-Allen equation
  283. Study of the Analytical Treatment of the (2+1)-Dimensional Zoomeron, the Duffing and the SRLW Equations via a New Analytical Approach
  284. Traveling wave solutions for time-dependent coefficient nonlinear evolution equations
  285. Exact solutions of the Zoomeron and Klein–Gordon–Zakharov equations
  286. The First Integral Method for Exact Solutions of Nonlinear Fractional Differential Equations
  287. Solving nonlinear evolution equation system using two different methods
  288. Dynamical analysis of the avian-human influenza epidemic model using the semi-analytical method
  289. A note on exp-function method combined with complex transform method applied to fractional differential equations
  290. Exact Travelling Wave Solutions of the Nonlinear Evolution Equations by Auxiliary Equation Method
  291. Conservation Laws and Soliton Solutions of the (1+1)-Dimensional Modified Improved Boussinesq Equation
  292. Exact solutions of some fractional differential equations arising in mathematical biology
  293. Functional variable method for the nonlinear fractional differential equations
  294. Solving nonlinear space-time fractional differential equations using the exp-function method
  295. Exact solutions of some systems of fractional differential-difference equations
  296. Exact solutions of nonlinear time fractional partial differential equations by sub-equation method
  297. The
  298. A generalization of (G′/G)-expansion method and its application to nonlinear reaction–diffusion equations arising in mathematical biology
  299. New Exact Solutions for Boussinesq Type Equations by Using (G'/G, 1/G) and (1/G')-Expansion Methods
  300. Topological soliton solutions for some nonlinear evolution equations
  301. Construction of periodic and solitary wave solutions for the complex nonlinear evolution equations
  302. Bright and Dark Soliton Solutions of the (2 + 1)-Dimensional Evolution Equations
  303. A novel modified simple equation method and its application to some nonlinear evolution equation systems
  304. A generalized fractional sub-equation method for nonlinear fractional differential equations
  305. Analytical Approach for the Space-time Nonlinear Partial Differential Fractional Equation
  306. Topological (dark) soliton solutions for the Camassa–Holm type equations
  307. Exact solutions of nonlinear fractional differential equations by ( G′/G )-expansion method
  308. Bright and dark soliton solutions of the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation and generalized Benjamin equation
  309. Analytical solution of variant Boussinesq equations
  310. OPTICAL SOLITON SOLUTIONS OF THE LONG-SHORT-WAVE INTERACTION SYSTEM
  311. Exact solutions of extended shallow water wave equations by exp‐function method
  312. Periodic and Solitary Wave Solutions of Complex Nonlinear Evolution Equations by Using First Integral Method
  313. Dark soliton and periodic wave solutions of nonlinear evolution equations
  314. Explicit solutions of nonlinear wave equation systems
  315. Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations
  316. Abundant traveling wave solutions of the compound KdV-Burgers equation via the improved (G′/G)-expansion method
  317. The -expansion method for the nonlinear lattice equations
  318. Exact solutions of shallow water wave equations by using the -expansion method
  319. A procedure to construct exact solutions of nonlinear evolution equations
  320. Analytic treatment of nonlinear evolution equations using first integral method
  321. Periodic and solitary wave solutions of coupled nonlinear wave equations using the first integral method
  322. Multisoliton solutions to Cahn-Allen equation using double exp-function method
  323. Bright and dark soliton solutions for variable-coefficient diffusion–reaction and modified Korteweg–de Vries equations
  324. Bright and dark soliton solutions for the variable coefficient generalizations of the KP equation
  325. Exact travelling wave solutions of nonlinear evolution equations by using the
  326. EXACT SOLUTIONS OF COUPLED KdV EQUATION DERIVED FROM THE COUPLED NLS EQUATION USING MULTIPLE SCALES METHOD
  327. Exact solutions of the coupled Higgs equation and the Maccari system using He’s semi-inverse method and
  328. The tanh–coth method combined with the Riccati equation for solving nonlinear coupled equation in mathematical physics
  329. Exact solutions of nonlinear evolution equations with variable coefficients using exp-function method
  330. Applications of the first integral method to nonlinear evolution equations
  331. New solitons and periodic solutions for nonlinear physical models in mathematical physics
  332. Periodic and solitary wave solutions of the attractive and repulsive nonlinear Schrödinger equation
  333. Application of the Exp-function method for nonlinear differential-difference equations
  334. Analytic solutions of the (2+1)-dimensional nonlinear evolution equations using the sine–cosine method
  335. Application of He’s exp-function method for nonlinear evolution equations
  336. New exact travelling wave solutions of nonlinear physical models
  337. The tanh–coth method combined with the Riccati equation for solving non-linear equation
  338. Solitary wave solutions of two nonlinear physical models by tanh–coth method
  339. Travelling wave solutions of nonlinear evolution equations by using the first integral method
  340. Application of Exp-function method for (2+1)-dimensional nonlinear evolution equations
  341. New exact travelling wave solutions of some complex nonlinear equations
  342. Numerical simulations of the Boussinesq equation by He's variational iteration method
  343. On traveling wave solutions to combined KdV–mKdV equation and modified Burgers–KdV equation
  344. The Exp-function method for Ostrovsky equation
  345. Travelling wave solutions of the Cahn–Allen equation by using first integral method
  346. Exact solutions of coupled nonlinear Klein–Gordon equations
  347. Applications of the extended tanh method for coupled nonlinear evolution equations
  348. The tanh and the sine–cosine methods for exact solutions of the MBBM and the Vakhnenko equations
  349. Application of Exp-function method for
  350. Exact solutions of coupled nonlinear evolution equations
  351. Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using Sine–Cosine method
  352. Application of the -expansion method for nonlinear evolution equations
  353. New solitons and periodic wave solutions for some nonlinear physical models by using the sine–cosine method
  354. Exact solutions for nonlinear evolution equations using Exp-function method
  355. Symbolic computation and new families of exact travelling solutions for the Kawahara and modified Kawahara equations
  356. Application of the variational iteration method to the regularized long wave equation
  357. Numerical simulation of equal-width wave equation
  358. The variational iteration method for solitary patterns solutions of gBBM equation
  359. Painlevé test for some (2+1)-dimensional nonlinear equations
  360. A travelling wave solution to the Ostrovsky equation
  361. Exact Solutions for a Class of Nonlinear Partial Differential Equations using Exp-Function Method
  362. Solitons and periodic solutions of coupled nonlinear evolution equations by using the sine–cosine method