T. J. Podile, A. R. Adem, S. O. Mbusi, B. Muatjetjeja
{"title":"Multiple Exp-Function Solutions, Group Invariant Solutions and Conservation Laws of a Generalized (2+1)-dimensional Hirota-Satsuma-Ito Equation","authors":"T. J. Podile, A. R. Adem, S. O. Mbusi, B. Muatjetjeja","doi":"10.47836/mjms.16.4.11","DOIUrl":null,"url":null,"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.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Malaysian Journal of Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47836/mjms.16.4.11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
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.
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.