Structure of analytical and symbolic computational approach of multiple solitary wave solutions for nonlinear Zakharov‐Kuznetsov modified equal width equation
{"title":"Structure of analytical and symbolic computational approach of multiple solitary wave solutions for nonlinear Zakharov‐Kuznetsov modified equal width equation","authors":"M. Iqbal, A. Seadawy, D. Lu, Zhengdi Zhang","doi":"10.1002/num.23033","DOIUrl":null,"url":null,"abstract":"The nonlinear two dimensional Zakharov‐Kuznetsov modified equal width equation investigated under the observation of extended modified rational expansion method and determined the multiple solitary wave solutions. The interested and important things in this work is the multiple solitary wave solutions which have various kinds of physical structure including anti‐kink soliton, travelling wave solutions, bright soliton, kink soliton, dark soliton, kink bright and dark solitons, anti‐kink bright and dark solitons. In our knowledge investigated various kinds of solitary solutions found first time under one method in the existing literatures. The constructed multiple solutions for nonlinear ZK‐MEW equation will play keen role in the investigation of different physical structure in nonlinear sciences. The investigated work prove that applied method is very efficient, reliable, and powerful.","PeriodicalId":19443,"journal":{"name":"Numerical Methods for Partial Differential Equations","volume":"39 1","pages":"3987 - 4006"},"PeriodicalIF":2.1000,"publicationDate":"2023-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Numerical Methods for Partial Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1002/num.23033","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
The nonlinear two dimensional Zakharov‐Kuznetsov modified equal width equation investigated under the observation of extended modified rational expansion method and determined the multiple solitary wave solutions. The interested and important things in this work is the multiple solitary wave solutions which have various kinds of physical structure including anti‐kink soliton, travelling wave solutions, bright soliton, kink soliton, dark soliton, kink bright and dark solitons, anti‐kink bright and dark solitons. In our knowledge investigated various kinds of solitary solutions found first time under one method in the existing literatures. The constructed multiple solutions for nonlinear ZK‐MEW equation will play keen role in the investigation of different physical structure in nonlinear sciences. The investigated work prove that applied method is very efficient, reliable, and powerful.
期刊介绍：
An international journal that aims to cover research into the development and analysis of new methods for the numerical solution of partial differential equations, it is intended that it be readily readable by and directed to a broad spectrum of researchers into numerical methods for partial differential equations throughout science and engineering. The numerical methods and techniques themselves are emphasized rather than the specific applications. The Journal seeks to be interdisciplinary, while retaining the common thread of applied numerical analysis.
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