All Stories

  1. Enormous soliton solutions to a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation
  2. Comparison between three distinct perceptions to the new solitary solutions of the generalized Hirota–Satsuma coupling KDV system
  3. 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
  4. New impressive ideal optical soliton solutions to the space and time invariant nonlinear Schrödinger equation
  5. Abundant analytical optical soliton solutions to the integrable (3+1)-Boussinesq equations
  6. Reply on the Comment on Optical Soliton to Multi-Core (Coupling with all the neighbors) Directional Couplers and Modulation Instability
  7. New solitary wave and other exact solutions of the van der Waals normal form for granular materials
  8. Optical solitons of the (2+1)-dimensional Kundu-Mukherjee-Naskar equation with Lokal M-derivative
  9. Accurate impressive optical solitons to the nonlinear refractive index cubic–quartic through birefringent fibers
  10. New explicit and exact traveling waves solutions to the modified complex Ginzburg Landau equation
  11. New unexpected behavior to the soliton arising from the geophysical Korteweg–de Vries equation
  12. New-fashioned solitons of coupled nonlinear Maccari systems describing the motion of solitary waves in fluid flow
  13. On some new travelling wave structures to the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli model
  14. Impressive and accurate solutions to the generalized Fokas-Lenells model
  15. Optical solitons related to (2+1)-dimensional Kundu–Mukherjee–Naskar model using an innovative integration architecture
  16. Traveling-wave solutions of the Klein–Gordon equations with M-fractional derivative
  17. Chiral solitons with W-shaped and other profiles in (1 + 2) dimensions
  18. Construction of new exact solutions of the resonant fractional NLS equation with the extended Fan sub-equation method
  19. Abundant M-fractional optical solitons to the pertubed Gerdjikov–Ivanov equation treating the mathematical nonlinear optics
  20. Investigation on the Single and Multiple Dromions for Nonlinear Telegraph Equation in Electrical Transmission Line
  21. Multiple accurate-cubic optical solitons to the kerr-law and power-law nonlinear Schrödinger equation without the chromatic dispersion
  22. Analytic Solutions of Fractal and Fractional Time Derivative-Burgers–Nagumo Equation
  23. New private types for the cubic-quartic optical solitons in birefringent fibers in its four forms of nonlinear refractive index
  24. Dynamics of new optical solitons for the Triki–Biswas model using beta-time derivative
  25. Analytical study of two nonlinear Schrödinger equations via optical soliton solutions
  26. New impressive behavior of the exact solutions to the Benjamin-Bona-Mahony-Burgers equation with dual power-law nonlinearity against its numerical solution
  27. Exact and numerical solutions for the nanosoliton of ionic waves propagating through microtubules in living cells
  28. Apposite solutions to fractional nonlinear Schrödinger-type evolution equations occurring in quantum mechanics
  29. Optical solitons to a perturbed Gerdjikov-Ivanov equation using two different techniques
  30. New Private Types for the Cubic-Quartic Optical Solitons in Birefringent Fibers in Its Four Forms of Nonlinear Refractive Index
  31. Soliton solutions in the conformable (2+1)-dimensional chiral nonlinear Schrödinger equation
  32. Application of modified Mickens iteration procedure to a pendulum and the motion of a mass attached to a stretched elastic wire
  33. New multiple-different impressive perceptions for the solitary solution to the magneto-optic waveguides with anti-cubic nonlinearity
  34. Closed Form Solutions of the Perturbed GerdjikovIvanov Equation With Variable Coefficients
  35. Optical solitons for the decoupled nonlinear Schrödinger equation using Jacobi elliptic approach
  36. Computational solutions of the generalized Ito equation in nonlinear dispersive systems
  37. Multiple Accurate-Cubic Optical Solitons to the Kerr-Low and Power-low Nonlinear Schrodinger Equation without the Chromatic Dispersion
  38. Solitary wave solutions in two-Core optical fibers with coupling-coefficient dispersion and Kerr nonlinearity
  39. New Lump Solutions for Spatio-Temporal Dispersion (1+1)-Dimensional Ito-Equation
  40. New visions of the soliton solutions to the modified nonlinear Schrodinger equation
  41. New perception of the exact solutions of the 3D-fractional Wazwaz-Benjamin-Bona-Mahony (3D-FWBBM) equation
  42. New vision for the soliton solutions to the complex Hirota-dynamical model
  43. Optical soliton to multi-core (coupling with all the neighbors) directional couplers and modulation instability
  44. Investigation of solitons and mixed lump wave solutions with (3+1)
  45. Dynamical Behavior of Traveling Wave Solutions for a (2+1)-Dimensional Bogoyavlenskii Coupled System
  46. Optical soliton solutions of the thin-film ferro-electric materials equation according to the Painlevé approach
  47. Three distinct and impressive visions for the soliton solutions to the higher-order nonlinear Schrodinger equation
  48. Chirped W-shape bright, dark and other solitons solutions of a conformable fractional nonlinear Schrödinger’s equation in nonlinear optics
  49. Comparison between the new exact and numerical solutions of the Mikhailov–Novikov–Wang equation
  50. Bright and Singular Optical Solitons in Nonlinear Negative-Index Materials with Quadratic–Cubic Nonlinearity
  51. Fluctuation and Frequency of the Oscillators with Exponential Spring Using Accurate Approximate Analytical Solutions
  52. Optical soliton structure of the sub-10-fs-pulse propagation model
  53. On the optical solutions to nonlinear Schrödinger equation with second-order spatiotemporal dispersion
  54. Optical solutions of cold bosonic atoms in a zig-zag optical lattice
  55. EXPLORING THE CONFORMABLE TIME-FRACTIONAL (3 + 1)-DIMENSIONAL MODIFIED KORTEWEG-DEVRIESZAKHAROV- KUZNETSOV EQUATION VIA THREE INTEGRATION SCHEMES
  56. Interaction properties of solitons for a couple of nonlinear evolution equations
  57. Soliton solutions of the (3 + 1)-dimensional Yu–Toda–Sassa–Fukuyama equation by the new approach and its numerical solutions
  58. The simplest equation approach for solving non-linear Tzitzéica type equations in non-linear optics
  59. Bright and dark soliton solutions for the complex Kundu-Eckhaus equation
  60. Optical solutions of the (2 + 1)-dimensional hyperbolic nonlinear Schrödinger equation using two different methods
  61. The conformable space–time fractional Fokas–Lenells equation and its optical soliton solutions based on three analytical schemes
  62. Analytical and semi‐analytical solutions for time‐fractional Cahn–Allen equation
  63. Optical soliton solutions to Biswas–Arshed model with truncated M-fractional derivative
  64. Exact and numerical solutions for the nano-soliton of ionic waves propagating through microtubules in living cells
  65. Abundant solitary wave solutions for the fractional coupled Jaulent–Miodek equations arising in applied physics
  66. New Travelling Wave Solution-Based New Riccati Equation for Solving KdV and Modified KdV Equations
  67. Painlevé approach and its applications to get new exact solutions of three biological models instead of its numerical solutions
  68. New imperssive regulations for the non-fractional order and the time-fractional order of the biological population models
  69. Analytical Behaviour of Travelling Wave Solutions to the Van der Waals Model
  70. New description for the bright, dark periodic solutions to the complex Hirota-dynamical model
  71. Exact optical solitons to the perturbed nonlinear Schrödinger equation with dual-power law of nonlinearity
  72. Propagation of the ultra-short femtosecond pulses and the rogue wave in an optical fiber
  73. Investigation for Optical Soliton Solutions of Two Nonlinear Schrödinger Equations via Two Concrete Finite Series Methods
  74. Optical soliton solutions to the (2+1)-dimensional Kundu–Mukherjee–Naskar equation
  75. New solitary waves for the Klein–Gordon–Zakharov equations
  76. New closed form solutions of the new coupled Konno–Oono equation using the new extended direct algebraic method
  77. Improved tanΦ(ξ)2$\tan \left (\frac {\Phi (\xi )}{2}\right )$-Expansion Approach for Burgers Equation in Nonlinear Dynamical Model of Ion Acoustic Waves
  78. New soliton solutions for resonant nonlinear Schrödinger’s equation having full nonlinearity
  79. Abundant traveling wave solutions to the resonant nonlinear Schrödinger’s equation with variable coefficients
  80. Investigation of soliton solutions with different wave structures to the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation
  81. Exploring the dark and singular soliton solutions of Biswas–Arshed model with full nonlinear form
  82. Exact solutions of the conformable fractional EW and MEW equations by a new generalized expansion method
  83. Soliton solutions in different classes for the Kaup–Newell model equation
  84. New exact solutions for Chan-Hilliard equation by new sub-equation method
  85. Explicit solutions of the (2 + 1)-dimensional Hirota–Maccari system arising in nonlinear optics
  86. Analytical solution for differential nonlinear and coupled equations in micropolar nanofluid flow between rotating parallel plates
  87. New approach to model coupled nerve fibers and exact solutions of the system
  88. The Functional Variable Method to Find New Exact Solutions of the Nonlinear Evolution Equations with Dual-Power-Law Nonlinearity
  89. New Optical Soliton Solutions of the Perturbed Fokas-Lenells Equation
  90. Fractional Sine–Gordon Equation Approach to the Coupled Higgs System Defined in Time-Fractional Form
  91. Exact solutions of $$(3+1)$$(3+1)-dimensional fractional mKdV equations in conformable form via $$\exp (-\phi (\tau ))$$exp(-ϕ(τ)) expansion method
  92. Exact traveling wave solutions of density-dependent conformable space–time-fractional diffusion–reaction equation with quadratic nonlinearity
  93. Optical solitons for the two forms of Biswas–Arshed equation
  94. Study on Fractional Differential Equations with Modified Riemann–Liouville Derivative via Kudryashov Method
  95. Oblique optical solutions of mitigating internet bottleneck with quadratic-cubic nonlinearity
  96. Solitary Wave Solutions of Nonlinear Conformable Time-Fractional Boussinesq Equations
  97. A sub-equation method for solving the cubic–quartic NLSE with the Kerr law nonlinearity
  98. The extended modified method applied to optical solitons solutions in birefringent fibers with weak nonlocal nonlinearity and four wave mixing
  99. New wave form solutions of nonlinear conformable time-fractional Zoomeron equation in (2 + 1)-dimensions
  100. An effective technique for the conformable space-time fractional EW and modified EW equations
  101. Application of the ITEM for solving three nonlinear evolution equations arising in fluid mechanics
  102. A variety of exact solutions to (2+1)-dimensional schrödinger equation
  103. Soliton Solutions for the Time Fractional Hamiltonian System by Various Approaches
  104. Soliton Solutions for the Time Fractional Hamiltonian System by Various Approaches
  105. Density-Dependent Conformable Space-time Fractional Diffusion-Reaction Equation and Its Exact Solutions
  106. ON THE EXACT SOLUTIONS AND CONSERVATION LAWS TO THE BENJAMIN-ONO EQUATION
  107. On a new technique for solving the nonlinear conformable time-fractional differential equations
  108. The Exp-function method for solving nonlinear space–time fractional differential equations in mathematical physics
  109. A simple technique for constructing exact solutions to nonlinear differential equations with conformable fractional derivative
  110. New exact solutions of some nonlinear evolution equations of pseudoparabolic type
  111. Exact solutions to the time-fractional differential equations via local fractional derivatives
  112. The exp-function method for some time-fractional differential equations
  113. Analytical approach for space–time fractional Klein–Gordon equation
  114. New exact traveling wave solutions of the Tzitzéica-type evolution equations arising in non-linear optics
  115. Exact solutions of nonlinear conformable time-fractional Boussinesq equations using the $$\exp \left( { - \phi \left( \varepsilon \right)} \right)$$ ...
  116. Construction of exact solutions to the space–time fractional differential equations via new approach
  117. New exact solutions of the conformable time-fractional Cahn–Allen and Cahn–Hilliard equations using the modified Kudryashov method
  118. Dark Soliton Solutions of Space-Time Fractional Sharma–Tasso–Olver and Potential Kadomtsev–Petviashvili Equations
  119. Tanh-type and sech-type solitons for some space-time fractional PDE models
  120. A family of exact travelling wave solutions of (2+1)-dimensional KdV4 equation
  121. A novel generalized Kudryashov method for exact solutions of nonlinear evolution equations
  122. Multiple scales analysis and travelling wave solutions for KdV type nonlinear evolution equations
  123. Singular 1-soliton solution of the nonlinear variable-coefficient diffusion reaction and mKdV equations
  124. Soliton solution and other solutions to a nonlinear fractional differential equation
  125. The (G′/G)-expansion method for the nonlinear time fractional differential equations
  126. The Auto-Bäcklund transformations for the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
  127. Symbolic computation and abundant travelling wave solutions to KdV–mKdV equation
  128. Auxiliary Equation Method for Fractional Differential Equations with Modified Riemann–Liouville Derivative
  129. Comparison between the generalized tanh–coth and the (G′/G)-expansion methods for solving NPDEs and NODEs
  130. A novel analytical method for time-fractional differential equations
  131. Analytical solutions with the improved (G’/G)-expansion method for nonlinear evolution equations
  132. Exact solutions of some fractional differential equations by various expansion methods
  133. Two reliable methods for solving the time fractional Clannish Random Walker's Parabolic equation
  134. Soliton solutions of (2+1)-dimensional time-fractional Zoomeron equation
  135. Dynamical analysis of the avian–human influenza epidemic model using multistage analytical method
  136. Method of Multiple Scales and Travelling Wave Solutions for (2+1)-Dimensional KdV Type Nonlinear Evolution Equations
  137. A novel method for nonlinear fractional differential equations using symbolic computation
  138. Complexiton solutions for two nonlinear partial differential equations via modification of simplified Hirota method
  139. Solitary wave solutions of the (2+1)-dimensional Zakharov-Kuznetsevmodified equal-width equation
  140. The modified simple equation method for solving some fractional-order nonlinear equations
  141. A generalized Kudryashov method to some nonlinear evolution equations in mathematical physics
  142. Exponential rational function method for solving nonlinear equations arising in various physical models
  143. Solving Space-Time Fractional Differential Equations by Using Modified Simple Equation Method
  144. Singular 1-soliton and Periodic Solutions to the Nonlinear Fisher-Type Equation with Time-Dependent Coefficients
  145. Bright and dark soliton solutions for some nonlinear fractional differential equations
  146. Different methods for (3+1)-dimensional space–time fractional modified KdV–Zakharov–Kuznetsov equation
  147. On the concept of exact solution for nonlinear differential equations of fractional-order
  148. Exact Solutions for Fractional Differential-Difference Equations by (G'/G)-Expansion Method with Modified Riemann-Liouville Derivative
  149. Exponential rational function method for space–time fractional differential equations
  150. Regarding on the exact solutions for the nonlinear fractional differential equations
  151. APPLICATION OF A NEW ANALYTICAL METHOD FOR THE RICHARDS' EQUATION, BASED ON THE BROOKS AND COREY MODEL
  152. Exact solutions of the (3+1)-dimensional space-time fractional Jimbo-Miwa equation
  153. Optical soliton solutions of nonlinear evolution equations using ansatz method
  154. Various methods for solving time fractional KdV-Zakharov-Kuznetsov equation
  155. APPLICATIONS OF FRACTIONAL COMPLEX TRANSFORM AND (G'/G)-EXPANSION METHOD FOR TIME-FRACTIONAL DIFFERENTIAL EQUATIONS
  156. Optical soliton solutions for the variable coefficient modified Kawahara equation
  157. Exact solutions of nonlinear Schrödinger equation by using symbolic computation
  158. Application of the Subequation Method to Some Differential Equations of Time-Fractional Order
  159. A variety of exact solutions for the time fractional Cahn-Allen equation
  160. Study of the Analytical Treatment of the (2+1)-Dimensional Zoomeron, the Duffing and the SRLW Equations via a New Analytical Approach
  161. Traveling wave solutions for time-dependent coefficient nonlinear evolution equations
  162. Exact solutions of the Zoomeron and Klein–Gordon–Zakharov equations
  163. The First Integral Method for Exact Solutions of Nonlinear Fractional Differential Equations
  164. Solving nonlinear evolution equation system using two different methods
  165. Dynamical analysis of the avian-human influenza epidemic model using the semi-analytical method
  166. A note on exp-function method combined with complex transform method applied to fractional differential equations
  167. Exact Travelling Wave Solutions of the Nonlinear Evolution Equations by Auxiliary Equation Method
  168. Conservation Laws and Soliton Solutions of the (1+1)-Dimensional Modified Improved Boussinesq Equation
  169. Exact solutions of some fractional differential equations arising in mathematical biology
  170. Functional variable method for the nonlinear fractional differential equations
  171. Solving nonlinear space-time fractional differential equations using the exp-function method
  172. Exact solutions of some systems of fractional differential-difference equations
  173. Exact solutions of nonlinear time fractional partial differential equations by sub-equation method
  174. The
  175. A generalization of (G′/G)-expansion method and its application to nonlinear reaction–diffusion equations arising in mathematical biology
  176. New Exact Solutions for Boussinesq Type Equations by Using (G'/G, 1/G) and (1/G')-Expansion Methods
  177. Topological soliton solutions for some nonlinear evolution equations
  178. Construction of periodic and solitary wave solutions for the complex nonlinear evolution equations
  179. Bright and Dark Soliton Solutions of the (2 + 1)-Dimensional Evolution Equations
  180. A novel modified simple equation method and its application to some nonlinear evolution equation systems
  181. A generalized fractional sub-equation method for nonlinear fractional differential equations
  182. Analytical Approach for the Space-time Nonlinear Partial Differential Fractional Equation
  183. Topological (dark) soliton solutions for the Camassa–Holm type equations
  184. Exact solutions of nonlinear fractional differential equations by ( G′/G )-expansion method
  185. Bright and dark soliton solutions of the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation and generalized Benjamin equation
  186. Analytical solution of variant Boussinesq equations
  187. OPTICAL SOLITON SOLUTIONS OF THE LONG-SHORT-WAVE INTERACTION SYSTEM
  188. Exact solutions of extended shallow water wave equations by exp‐function method
  189. Periodic and Solitary Wave Solutions of Complex Nonlinear Evolution Equations by Using First Integral Method
  190. Dark soliton and periodic wave solutions of nonlinear evolution equations
  191. Explicit solutions of nonlinear wave equation systems
  192. Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations
  193. Abundant traveling wave solutions of the compound KdV-Burgers equation via the improved (G′/G)-expansion method
  194. The -expansion method for the nonlinear lattice equations
  195. Exact solutions of shallow water wave equations by using the -expansion method
  196. A procedure to construct exact solutions of nonlinear evolution equations
  197. Analytic treatment of nonlinear evolution equations using first integral method
  198. Periodic and solitary wave solutions of coupled nonlinear wave equations using the first integral method
  199. Multisoliton solutions to Cahn-Allen equation using double exp-function method
  200. Bright and dark soliton solutions for variable-coefficient diffusion–reaction and modified Korteweg–de Vries equations
  201. Bright and dark soliton solutions for the variable coefficient generalizations of the KP equation
  202. Exact travelling wave solutions of nonlinear evolution equations by using the
  203. EXACT SOLUTIONS OF COUPLED KdV EQUATION DERIVED FROM THE COUPLED NLS EQUATION USING MULTIPLE SCALES METHOD
  204. Exact solutions of the coupled Higgs equation and the Maccari system using He’s semi-inverse method and
  205. The tanh–coth method combined with the Riccati equation for solving nonlinear coupled equation in mathematical physics
  206. Exact solutions of nonlinear evolution equations with variable coefficients using exp-function method
  207. Applications of the first integral method to nonlinear evolution equations
  208. New solitons and periodic solutions for nonlinear physical models in mathematical physics
  209. Periodic and solitary wave solutions of the attractive and repulsive nonlinear Schrödinger equation
  210. Application of the Exp-function method for nonlinear differential-difference equations
  211. Analytic solutions of the (2+1)-dimensional nonlinear evolution equations using the sine–cosine method
  212. Application of He’s exp-function method for nonlinear evolution equations
  213. New exact travelling wave solutions of nonlinear physical models
  214. The tanh–coth method combined with the Riccati equation for solving non-linear equation
  215. Solitary wave solutions of two nonlinear physical models by tanh–coth method
  216. Travelling wave solutions of nonlinear evolution equations by using the first integral method
  217. Application of Exp-function method for (2+1)-dimensional nonlinear evolution equations
  218. New exact travelling wave solutions of some complex nonlinear equations
  219. Numerical simulations of the Boussinesq equation by He's variational iteration method
  220. On traveling wave solutions to combined KdV–mKdV equation and modified Burgers–KdV equation
  221. The Exp-function method for Ostrovsky equation
  222. Travelling wave solutions of the Cahn–Allen equation by using first integral method
  223. Exact solutions of coupled nonlinear Klein–Gordon equations
  224. Applications of the extended tanh method for coupled nonlinear evolution equations
  225. The tanh and the sine–cosine methods for exact solutions of the MBBM and the Vakhnenko equations
  226. Application of Exp-function method for
  227. Exact solutions of coupled nonlinear evolution equations
  228. Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using Sine–Cosine method
  229. Application of the -expansion method for nonlinear evolution equations
  230. New solitons and periodic wave solutions for some nonlinear physical models by using the sine–cosine method
  231. Exact solutions for nonlinear evolution equations using Exp-function method
  232. Symbolic computation and new families of exact travelling solutions for the Kawahara and modified Kawahara equations
  233. Application of the variational iteration method to the regularized long wave equation
  234. Numerical simulation of equal-width wave equation
  235. The variational iteration method for solitary patterns solutions of gBBM equation
  236. Painlevé test for some (2+1)-dimensional nonlinear equations
  237. A travelling wave solution to the Ostrovsky equation
  238. Exact Solutions for a Class of Nonlinear Partial Differential Equations using Exp-Function Method
  239. Solitons and periodic solutions of coupled nonlinear evolution equations by using the sine–cosine method