A new computational investigation to the new exact solutions of (3 + 1)-dimensional WKdV equations via two novel procedures arising in shallow water magnetohydrodynamics
Document Type
Article
Publication Date
1-1-2022
Abstract
Various new exact solutions to (3 + 1)-dimensional Wazwaz-KdV equations are obtained in this work via two techniques: the modified Kudryashov procedure and modified simple equation method. The 3D plots, contour plots, and 2D plots of some obtained solutions are provided to describe the dynamic characteristics of the obtained solutions. Our employed techniques are very helpful in constructing new exact solutions to several nonlinear models encountered in ocean scientific phenomena arising in stratified flows, shallow water, plasma physics, and internal waves. © 2022 Maojie Zhou et al., published by De Gruyter.
Keywords
Korteweg-de Vries equation, Magnetoplasma, Computational investigation, Contour plot, Exact solution, Exact solution (3 + 1)-dimensional modified wazwaz-KdV equation, Kdv equation, Modified kudryashov procedure, Modified simple equation method, New exact solutions, Shallow waters, Simplest equation method, Magnetohydrodynamics
Divisions
MathematicalSciences
Funders
Guangxi Science and Technology Plan Project [Grant No ; guikeAB17195028],Guangxi University Young and Middle-Aged Teachers' Basic Scientific Research Ability Improvement Project [Grant No ; 2021KY1675],Guilin Science and Technology Research and Development Project [Grant No ; 20180102-2, 20170220]
Publication Title
Nonlinear Engineering
Volume
11
Issue
1
Publisher
De Gruyter Open Ltd