A NEW (3+1)-DIMENSIONAL KDV EQUATION AND MKDV EQUATION WITH THEIR CORRESPONDING FRACTIONAL FORMS-Reference-Cited by-同舟云学术

A NEW (3+1)-DIMENSIONAL KDV EQUATION AND MKDV EQUATION WITH THEIR CORRESPONDING FRACTIONAL FORMS

Published:2022-05-07 Issue:04 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

WANG GANGWEI¹^ORCID,WAZWAZ ABDUL-MAJID²

Affiliation:

1. School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, P. R. China

2. Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA

Abstract

In this work, new [Formula: see text]-dimensional Korteweg–de Vries (KdV) equation and modified KdV (mKdV) equation as well as the corresponding fractional forms are presented. These two equations are derived for the first time relying on the extended [Formula: see text]-dimensional zero curvature equation. In addition, symmetries and conservation laws are displayed. Meanwhile, one-soliton solution for the time fractional of [Formula: see text]-dimensional KdV equation and mKdV equation is obtained.

Funder

Natural Science Foundation of Hebei Province

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22500815

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