Multiple Exp-Function Solutions, Group Invariant Solutions and Conservation Laws of a Generalized (2+1)-dimensional Hirota-Satsuma-Ito Equation

IF 0.5 Q3 MATHEMATICS

Malaysian Journal of Mathematical Sciences Pub Date : 2022-12-23 DOI:10.47836/mjms.16.4.11

T. J. Podile, A. R. Adem, S. O. Mbusi, B. Muatjetjeja

引用次数: 1

Abstract

Multiple exp-function technique and group analysis is accomplished for a comprehensive (2+1)-dimensional Hirota-Satsuma-Ito equation that appears in many sectors of nonlinear science such as for example in fluid dynamics. Travelling wave solutions are computed and it is displayed that this underlying equation gives kink solutions. The invariant reductions and further closed-form solutions are processed. Conserved currents are developed and their physical ramifications are illustrated.

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广义（2+1）维Hirota-Satsuma-Ito方程的多重显函数解、群不变解和守恒定律

对一个综合的（2+1）维Hirota-Satsuma-Ito方程进行了多重exp函数技术和群分析，该方程出现在非线性科学的许多领域，例如流体动力学。计算了行波解，表明该方程给出了扭结解。对不变约简和进一步的闭式解进行了处理。发展了守恒流，并说明了其物理后果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Malaysian Journal of Mathematical Sciences MATHEMATICS-

CiteScore

1.10

自引率

20.00%

发文量

期刊介绍： The Research Bulletin of Institute for Mathematical Research (MathDigest) publishes light expository articles on mathematical sciences and research abstracts. It is published twice yearly by the Institute for Mathematical Research, Universiti Putra Malaysia. MathDigest is targeted at mathematically informed general readers on research of interest to the Institute. Articles are sought by invitation to the members, visitors and friends of the Institute. MathDigest also includes abstracts of thesis by postgraduate students of the Institute.