Symbolic computations: Dispersive soliton solutions for (3+1)-dimensional Boussinesq and Kadomtsev–Petviashvili dynamical equations and its applications-Reference-Cited by-同舟云学术

Symbolic computations: Dispersive soliton solutions for (3+1)-dimensional Boussinesq and Kadomtsev–Petviashvili dynamical equations and its applications

Published:2019-11-20 Issue:29 Volume:33 Page:1950342
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

Seadawy Aly R.¹^ORCID,Tariq Kalim U.²,Liu Jian-Guo³

Affiliation:

1. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

2. Department of Mathematics, Mirpur University of Science and Technology, Mirpur (AJK) 10250, Pakistan

3. College of Computer, Jiangxi University of Traditional Chinese Medicine, Jiangxi 330004, P. R. China

Abstract

In this paper, the auxiliary expansion equation method is applied to compute the analytical wave solutions for (3[Formula: see text]+[Formula: see text]1)-dimensional Boussinesq and Kadomtsev–Petviashvili (KP) equations. A simple transformation is carried out to reduce the set of nonlinear partial differential equations (NPDEs) into ODEs. These obtained results hold numerous traveling wave solutions that are of key importance in elucidating some physical circumstance.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979219503429

Reference40 articles.

1. Unified Shock Profile in a Plasma

2. New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod

3. Mathematical methods via the nonlinear two-dimensional water waves of Olver dynamical equation and its exact solitary wave solutions

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