A variety of physical structures to the generalized Equal-Width equation derived from Wazwaz-Benjamin-Bona-Mahony model

Abstract In this paper we are interested in investigating the physical shape-changed propagations to the generalized Equal-Width equation through studying the explicit solutions of Wazwaz-Benjamin-Bona-Mahony model. Both models are of considerable importance in many disciplines of research, including ocean engineering and science, and describe the propagation of equally-width waves. We highlight the effect of the coefficients of both nonlinearity and dispersion terms on changing the physical shape of both models by implementing the new exponential-expansion scheme. 2D and 3D graphical plots are provided to validate the findings of the paper.

[1]  A. Wazwaz.  New travelling wave solutions of different physical structures to generalized BBM equation , 2006 .

[2]  Mustafa Bayram,et al.  Construction of multi-wave complexiton solutions of the Kadomtsev-Petviashvili equation via two efficient analyzing techniques , 2021 .

[3]  R. El-Shiekh,et al.  Solitary wave solutions for the variable-coefficient coupled nonlinear Schrödinger equations and Davey–Stewartson system using modified sine-Gordon equation method , 2020 .

[4]  Omar Abu Arqub.  Computational algorithm for solving singular Fredholm time-fractional partial integrodifferential equations with error estimates , 2019 .

[5]  James D. Meiss,et al.  SCATTERING OF REGULARIZED-LONG-WAVE SOLITARY WAVES , 1984 .

[6]  H. Rezazadeh,et al.  Exact solutions of the conformable fractional EW and MEW equations by a new generalized expansion method , 2020 .

[7]  Jian‐Guo Liu,et al.  Multiple rogue wave, breather wave and interaction solutions of a generalized (3 + 1)-dimensional variable-coefficient nonlinear wave equation , 2021, Nonlinear Dynamics.

[8]  Marwan Alquran,et al.  Physical properties for bidirectional wave solutions to a generalized fifth-order equation with third-order time-dispersion term , 2021 .

[9]  O. Arqub,et al.  Computational algorithm for solving singular Fredholm time-fractional partial integrodifferential equations with error estimates , 2019 .

[10]  A. Seadawy,et al.  Dispersive soliton solutions for shallow water wave system and modified Benjamin-Bona-Mahony equations via applications of mathematical methods , 2020 .

[11]  Omar Abu Arqub,et al.  The RKHS method for numerical treatment for integrodifferential algebraic systems of temporal two-point BVPs , 2017, Neural Computing and Applications.

[12]  Jian‐Guo Liu,et al.  Exact periodic cross-kink wave solutions for the (2+1)-dimensional Korteweg-de Vries equation , 2020 .

[13]  A. Yusuf,et al.  Kink-soliton, singular-kink-soliton and singular-periodic solutions for a new two-mode version of the Burger–Huxley model: applications in nerve fibers and liquid crystals , 2021, Optical and Quantum Electronics.

[14]  A. Yusuf,et al.  Heart-cusp and bell-shaped-cusp optical solitons for an extended two-mode version of the complex Hirota model: application in optics , 2021 .

[15]  Jian‐Guo Liu,et al.  Stripe solitons and lump solutions to a generalized (3 + 1)-dimensional B-type Kadomtsev-Petviashvili equation with variable coefficients in fluid dynamics , 2019, 1911.07230.

[16]  Omar Abu Arqub,et al.  Application of Residual Power Series Method for the Solution of Time-fractional Schrödinger Equations in One-dimensional Space , 2019, Fundam. Informaticae.

[17]  Aydin Seçer,et al.  The analytical solutions of Zoomeron equation via extended rational sin-cos and sinh-cosh methods , 2021 .

[18]  D. Baleanu,et al.  Shapes and dynamics of dual-mode Hirota–Satsuma coupled KdV equations: Exact traveling wave solutions and analysis , 2019, Chinese Journal of Physics.

[19]  A variety of wave amplitudes for the conformable fractional (2 + 1)-dimensional Ito equation , 2021 .

[20]  Omar Abu Arqub,et al.  APPLICATION OF REPRODUCING KERNEL ALGORITHM FOR SOLVING DIRICHLET TIME-FRACTIONAL DIFFUSION-GORDON TYPES EQUATIONS IN POROUS MEDIA , 2019, Journal of Porous Media.

[21]  Omar Abu Arqub,et al.  Numerical Algorithm for the Solutions of Fractional Order Systems of Dirichlet Function Types with Comparative Analysis , 2019, Fundam. Informaticae.

[22]  S. Momani,et al.  New Fractional Analytical Study of Three-Dimensional Evolution Equation Equipped With Three Memory Indices , 2019, Journal of Computational and Nonlinear Dynamics.

[23]  H. M. Baskonus,et al.  On the exact solitary wave solutions to the long-short wave interaction system , 2018 .

[24]  M. Alquran,et al.  Jacobi elliptic function solutions for a two-mode KdV equation , 2017, Journal of King Saud University - Science.

[25]  Imad Jaradat,et al.  Construction of Solitary Two-Wave Solutions for a New Two-Mode Version of the Zakharov-Kuznetsov Equation , 2020, Mathematics.

[26]  M. Shafiee,et al.  Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations , 2020 .

[27]  Marwan Alquran,et al.  Dual-wave solutions for the quadratic-cubic conformable-Caputo time-fractional Klein-Fock-Gordon equation , 2021, Math. Comput. Simul..

[28]  A. Yusuf,et al.  Modulation instability analysis and optical solitons of the generalized model for description of propagation pulses in optical fiber with four non-linear terms , 2020, Modern Physics Letters B.

[29]  Nikolai A. Kudryashov,et al.  One method for finding exact solutions of nonlinear differential equations , 2011, 1108.3288.

[30]  M. Alquran,et al.  Dynamism of two-mode’s parameters on the field function for third-order dispersive Fisher: application for fibre optics , 2018, Optical and Quantum Electronics.

[31]  Jian-Guo Liu,et al.  Abundant lump and lump–kink solutions for the new (3+1)-dimensional generalized Kadomtsev–Petviashvili equation , 2018 .

[32]  L. Akinyemi,et al.  The optical soliton solutions of generalized coupled nonlinear Schrödinger-Korteweg-de Vries equations , 2021, Optical and Quantum Electronics.

[33]  K. Hosseini,et al.  A variety of solitons to the sixth-order dispersive (3+1)-dimensional nonlinear time-fractional Schrödinger equation with cubic-quintic-septic nonlinearities , 2021 .

[34]  A. Seadawy,et al.  Abundant closed form wave solutions to some nonlinear evolution equations in mathematical physics , 2020 .

[35]  S. Momani,et al.  Development of spreading symmetric two-waves motion for a family of two-mode nonlinear equations , 2020, Heliyon.