All Stories

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