Dynamic wave solutions for (2+1)-dimensional DJKM equation in plasma physics-Reference-Cited by-同舟云学术

Dynamic wave solutions for (2+1)-dimensional DJKM equation in plasma physics

Published:2024 Issue:3 Volume:9 Page:6060-6072
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Gaber Ahmed A.¹,Wazwaz Abdul-Majid²

Affiliation:

1. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, 11952, Suadi Arab

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

Abstract

<abstract><p>In this paper, we attempt to obtain exact and novel solutions for Date-Jimbo-Kashiwara-Miwa equation (DJKM) via two different techniques: Lie symmetry analysis and generalized Kudryashov method (GKM). This equation has applications in plasma physics, fluid mechanics, and other fields. The Lie symmetry method is applied to reduce the governing equation to five different ordinary differential equations (ODEs). GKM is used to obtain general and various periodic solutions. These solutions have different behaviors such as kink wave, anti-kink wave, double soliton, and single wave solution. The physical behavior of the solutions was reviewed through 2-D and 3-D graphs.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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