All Stories

  1. Erratum — Nonparaxial pulse propagation to the cubic–quintic nonlinear Helmholtz equation
  2. Shock Waves in Ion-Beam-Depleted Spin-Polarized Quantum Plasma with Ionic Pressure Anisotropy
  3. A Study of the Wave Dynamics for the Reaction‐Diffusion Brusselator System and RKL Equation
  4. Investigation of exact solitons to the quarticRosenau-Kawahara-Regularized-Long-Wave fluidmodel with fractional derivative and qualitativeanalysis
  5. Modulational stability and multiple rogue wave solutions for a generalized (3+1)-D nonlinear wave equation in fluid with gas bubbles
  6. A numerical aproach to dispersion-dissipation-reaction model: third order KdV-Burger-Fisher equation
  7. Stability Analysis, Modulation Instability, and Beta-Time Fractional Exact Soliton Solutions to the Van der Waals Equation
  8. New Solitary Waves for Thin-Film Ferroelectric Material Equation Arising in Dielectric Materials
  9. Behavior of analytical schemes with non-paraxial pulse propagation to the cubic–quintic nonlinear Helmholtz equation
  10. Effect of trapping of electrons and positrons on the evolution of shock wave in magnetized plasma: A complex trapped K-dV burgers’ equation
  11. New solutions to a generalized fifth-order KdV like equation with prime number p
  12. Study on the simplified MCH equation and the combined KdV–mKdV equations with solitary wave solutions
  13. Derivation of some solitary wave solutions for the (3+1)- dimensional pKP-BKP equation via the IME tanh function method
  14. Study of the modulational instability and miscellaneous soliton for metamaterials via three powerful schemes
  15. Erratum — Solitary waves for the nonparaxial nonlinear Schrödinger equation
  16. On soliton solutions, periodic wave solutions, asymptotic analysis and interaction phenomena of the (3+1)-dimensional JM equation
  17. A generalized trial equation scheme: A tool for solving thin films constructed from the ferroelectric materials
  18. Solitary waves for the nonparaxial nonlinear Schrödinger equation
  19. Cutting-Edge Analytical and Numerical Approaches to the Gilson–Pickering Equation with Plenty of Soliton Solutions
  20. Nonparaxial pulse propagation to the cubic–quintic nonlinear Helmholtz equation
  21. Bilinear method and semi-inverse variational principle approach to the generalized (2+1)-dimensional shallow water wave equation
  22. Variety interaction between k-lump and
  23. Lump, lump-trigonometric, breather waves, periodic wave and multi-waves solutions for a Konopelchenko–Dubrovsky equation arising in fluid dynamics
  24. Dynamical Behaviors of Lumpoff and Rogue Wave Solutions for Nonlocal Gardner Equation
  25. New soliton waves and modulation instability analysis for a metamaterials model via the integration schemes
  26. New Results of Some of the Conformable Models Arising in Dynamical Systems
  27. N-Lump Solutions to a (3+1)-Dimensional Variable-Coefficient Generalized Nonlinear Wave Equation in a Liquid with Gas Bubbles
  28. Theoretical analysis for miscellaneous soliton waves in metamaterials model by modification of analytical solutions
  29. A Mathematical Study of the (3+1)-D Variable Coefficients Generalized Shallow Water Wave Equation with Its Application in the Interaction between the Lump and Soliton Solutions
  30. Numerical and analytical results of the 1D BBM equation and 2D coupled BBM-system by finite element method
  31. A Theoretical Study of Reverse Roll Coating for a Non-Isothermal Third-Grade Fluid under Lubrication Approximation Theory
  32. The nonlinear vibration and dispersive wave systems with cross-kink and solitary wave solutions
  33. Combined Damped Sinusoidal Oscillation Solutions to the (3 + 1)-D Variable-Coefficient Generalized NLW Equation in Liquid with Gas Bubbles
  34. Extracting the exact solitons of time-fractional three coupled nonlinear Maccari’s system with complex form via four different methods
  35. N-Lump to the (2+1)-Dimensional Variable-Coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada Equation
  36. Novel Optical Soliton Waves in Metamaterials with Parabolic Law of Nonlinearity via the IEFM and ISEM
  37. Abundant wave solutions for generalized Hietarinta equation with Hirota’s bilinear operator
  38. Periodic, Cross-Kink, and Interaction between Stripe and Periodic Wave Solutions for Generalized Hietarinta Equation: Prospects for Applications in Environmental Engineering
  39. Analytical approach for polar magnetooptics in multilayer spin-polarized light emitting diodes based on InAs quantum dots
  40. Abundant soliton wave solutions and the linear superposition principle for generalized (3+1)-D nonlinear wave equation in liquid with gas bubbles by bilinear analysis
  41. Abundant soliton wave solutions for the (3+1)-dimensional variable-coefficient nonlinear wave equation in liquid with gas bubbles by bilinear analysis
  42. Lump and Interaction Solutions to the ( 3 + 1 )-Dimensional Variable-Coefficient Nonlinear Wave Equation with Multidimensional Binary Bell Polynomials
  43. Multiple soliton solutions of the generalized Hirota-Satsuma-Ito equation arising in shallow water wave
  44. Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation
  45. The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation
  46. Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water Wave
  47. Cross-kink wave, solitary, dark, and periodic wave solutions by bilinear and He’s variational direct methods for the KP–BBM equation
  48. N-lump and interaction solutions of localized waves to the (2+1)-dimensional generalized KDKK equation
  49. Nonlinear spin dynamics of a couple of nonlinear Schrödinger's equations by the improved form of an analytical method
  50. Conservation laws and exact solutions of the $(3+1)$-dimensional Jimbo–Miwa equation
  51. Multiple rogue wave solutions and the linear superposition principle for a (3 + 1)‐dimensional Kadomtsev–Petviashvili–Boussinesq‐like equation arising in energy distributions
  52. Modulational instability and multiple rogue wave solutions for the generalized CBS–BK equation
  53. Dark wave, rogue wave and perturbation solutions of Ivancevic option pricing model
  54. Multiple rogue and soliton wave solutions to the generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation arising in fluid mechanics and plasma physics
  55. Abundant interaction between lump and k-kink, periodic and other analytical solutions for the (3+1)-D Burger system by bilinear analysis
  56. On the Exact Solitary Wave Solutions to the New ( 2 + 1 ) and ( 3 + 1 )-Dimensional Extens...
  57. Pure Traveling Wave Solutions for Three Nonlinear Fractional Models
  58. Solitary wave solitons to one model in the shallow water waves
  59. Localized waves and interaction solutions to the fractional generalized CBS-BK equation arising in fluid mechanics
  60. Quintic B-spline collocation method for the numerical solution of the Bona–Smith family of Boussinesq equation type
  61. Novel multiple soliton solutions for some nonlinear PDEs via multiple Exp-function method
  62. Multiple rogue wave, dark, bright, and solitary wave solutions to the KP-BBM equation
  63. New strategic method for fractional mitigating internet bottleneck with quadratic–cubic nonlinearity
  64. Multiple rogue wave, lump‐periodic, lump‐soliton, and interaction between k ‐lump and k ‐stripe soliton solutions for the generalized KP equation
  65. An Efficient Alternating Direction Explicit Method for Solving a Nonlinear Partial Differential Equation
  66. Periodic wave solutions and stability analysis for the (3+1)-D potential-YTSF equation arising in fluid mechanics
  67. The extended auxiliary equation mapping method to determine novel exact solitary wave solutions of the nonlinear fractional PDEs
  68. Multiple rogue wave solutions for a variable-coefficient Kadomtsev-Petviashvili equation
  69. Interaction among a lump, periodic waves, and kink solutions to the fractional generalized CBS‐BK equation
  70. N -lump and interaction solutions of localized waves to the (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation arise from a model for an incompressible fluid
  71. Multiple rogue wave and solitary solutions for the generalized BK equation via Hirota bilinear and SIVP schemes arising in fluid mechanics
  72. M lump and interaction between M lump and N stripe for the third-order evolution equation arising in the shallow water
  73. M-lump, interaction between lumps and stripe solitons solutions to the (2+1)-dimensional KP-BBM equation
  74. Periodic wave solutions and stability analysis for theKP-BBM equation with abundant novel interactionsolutions
  75. N-lump and interaction solutions of localized waves to the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation
  76. Breather wave, periodic, and cross‐kink solutions to the generalized Bogoyavlensky‐Konopelchenko equation
  77. Lump-type solutions and interaction phenomenon to the (2+1)-dimensional Breaking Soliton equation
  78. Analytical behaviour of lump solution and interaction phenomenon to the Kadomtsev–Petviashvili-like equation
  79. Lump wave solutions and the interaction phenomenon for a variable-coefficient Kadomtsev–Petviashvili equation
  80. Lump-type solutions and interaction phenomenon to the bidirectional Sawada–Kotera equation
  81. Analytical treatments of the space–time fractional coupled nonlinear Schrödinger equations
  82. Novel solitary wave solutions for the (3+1)-dimensional extended Jimbo–Miwa equations
  83. Solitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEM
  84. Numerical solutions of nonlinear 3-dimensional Volterra integral-differential equations with 3D-block-pulse functions
  85. Numerical treatment of the Benjamin-Bona-Mahony equation using Alpert multiwavelets
  86. Sparse representation of delay differential equation of Pantograph type using multi-wavelets Galerkin method
  87. Lump solution and its interaction to (3+1)-D potential-YTSF equation
  88. New exact solutions for a discrete electrical lattice using the analytical methods
  89. Traveling wave solutions for density-dependent conformable fractional diffusion–reaction equation by the first integral method and the improved $$\textbf{tan}\left( {{\mathbf{\frac{1}{2}}}{\boldsymbol{\varphi }}\left({\boldsymbol{\upxi}} \right)} \righ...
  90. Optical solitons in $$(n+1)$$(n+1)-dimensions under anti-cubic law of nonlinearity by analytical methods
  91. Some new analytical solutions of the variant Boussinesq equations
  92. On some new analytical solutions for new coupled Konno–Oono equation by the external trial equation method
  93. Analytical treatment of nonlinear conformable time-fractional Boussinesq equations by three integration methods
  94. Applications of IBSOM and ETEM for solving a discrete electrical lattice
  95. Applications of the ETEM for obtaining optical soliton solutions for the Lakshmanan-Porsezian-Daniel model
  96. Exact solutions for Fitzhugh–Nagumo model of nerve excitation via Kudryashov method
  97. Applications of IBSOM and ETEM for solving the nonlinear chains of atoms with long-range interactions
  98. Abundant soliton solutions of the resonant nonlinear Schrödinger equation with time-dependent coefficients by ITEM and He’s semi-inverse method
  99. Application of $$\tan (\phi (\xi )/2)$$ tan ( ϕ ...
  100. Application of the generalized G′/G-expansion method for nonlinear PDEs to obtaining soliton wave solution
  101. Applications of He's semi-inverse method, ITEM and GGM to the Davey-Stewartson equation
  102. Application of the ITEM for the modified dispersive water-wave system
  103. Soliton solutions of the quantum Zakharov-Kuznetsov equation which arises in quantum magneto-plasmas
  104. The analytical study of solitons to the nonlinear Schrödinger equation with resonant nonlinearity
  105. Wave solutions for variants of the KdV-Burger and the K (n ,n )-Burger equations by the generalized G′/G-expansion method
  106. Application of the ITEM for the system of equations for the ion sound and Langmuir waves
  107. Exact solitary wave solutions to the generalized Fisher equation
  108. Comparison between the generalized tanh–coth and the (G′/G)-expansion methods for solving NPDEs and NODEs
  109. Optical soliton solutions for the Gerdjikov–Ivanov model via tan(ϕ/2)-expansion method
  110. A new analytical approach to solve some of the fractional-order partial differential equations
  111. Analytic study of sixth-order thin-film equation by tan(ϕ/2)-expansion method
  112. Optical soliton wave solutions to the resonant Davey–Stewartson system
  113. Abundant soliton solutions for the Kundu–Eckhaus equation via tan(ϕ(ξ))-expansion method
  114. Optical soliton solutions for Schrödinger type nonlinear evolution equations by the tan(Φ(ξ)/2)-expansion method
  115. Abundant soliton solutions for the coupled Schrödinger-Boussinesq system via an analytical method
  116. Improvement of the Exp-function method for solving the BBM equation with time-dependent coefficients
  117. Application of tan(ϕ/2)-expansion method for solving the Biswas–Milovic equation for Kerr law nonlinearity
  118. Dispersive dark optical soliton with Tzitzéica type nonlinear evolution equations arising in nonlinear optics
  119. On the complex structures of the Biswas-Milovic equation for power, parabolic and dual parabolic law nonlinearities
  120. Construction of exact solutions to the modified forms of DP and CH equations by analytical methods
  121. Optical solitons with Biswas-Milovic equation for Kerr law nonlinearity
  122. Solitary wave and periodic wave solutions for Burgers, Fisher, Huxley and combined forms of these equations by the (G ′ /G)-expansion method
  123. Solving Burger's equation by semi-analytical and implicit method
  124. Exact travelling wave solutions of the symmetric regularized long wave (SRLW) using analytical methods
  125. Application of semi‐analytical methods for solving the Rosenau‐Hyman equation arising in the pattern formation in liquid drops
  126. ANALYTICAL TREATMENT OF SOME PARTIAL DIFFERENTIAL EQUATIONS ARISING IN MATHEMATICAL PHYSICS BY USING THE Exp-FUNCTION METHOD
  127. Solving nonlinear fractional partial differential equations using the homotopy analysis method