Lie Symmetry Analysis for the General Classes of Generalized Modified Kuramoto-Sivashinsky Equation

Author:

Qi Rong1,Munir Muhammad Mobeen2ORCID,Younas Nazish3,Idrees Muhammad3,Liu Jia-Bao4ORCID

Affiliation:

1. School of Computer and Data Engineering, Bengbu College of Technology and Business, Bengbu 233000, China

2. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan

3. Department of Mathematics, University of Education, Lahore, Pakistan

4. School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China

Abstract

Lie symmetry analysis of differential equations proves to be a powerful tool to solve or at least reduce the order and nonlinearity of the equation. Symmetries of differential equations is the most significant concept in the study of DE’s and other branches of science like physics and chemistry. In this present work, we focus on Lie symmetry analysis to find symmetries of some general classes of KS-type equation. We also compute transformed equivalent equations and some invariant solutions of this equation.

Funder

Higher Education Commission, Pakistan

Publisher

Hindawi Limited

Subject

Analysis

Reference19 articles.

1. Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition

2. The general similiarity solution of the heat equation;G. W. Bluman;Applied Mathematics and Mechanics,1969

3. Nonclassical symmetries and group invariant solutions of Burgers-Fisher equation;G. Cai;World Journal of Modelling and Simulation,2007

4. Invariance of a Partial Differential Equation of Fractional Order under the Lie Group of Scaling Transformations

5. Lie symmetries and exact solutions for the one-dimensional Kuramoto–Sivashinsky equation;M. Nadjafikhah;Applied Sciences,2020

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3