{"title":"Existence of periodic traveling wave solutions of a family of generalized Burgers-Fisher equations","authors":"Krishna Patra, Ch. Srinivasa Rao","doi":"10.1016/j.jmaa.2025.129263","DOIUrl":null,"url":null,"abstract":"<div><div>In this article, our goal is to study the existence of isolated periodic traveling wave solutions for a family of generalized Burgers-Fisher equations using the monotonicity of the ratio of Abelian integrals. The conditions on the parameters under which the equation has exactly one isolated periodic traveling wave solution are presented. Finally, we provide a numerical study to illustrate our results.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"547 1","pages":"Article 129263"},"PeriodicalIF":1.2000,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X25000447","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/1/16 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
In this article, our goal is to study the existence of isolated periodic traveling wave solutions for a family of generalized Burgers-Fisher equations using the monotonicity of the ratio of Abelian integrals. The conditions on the parameters under which the equation has exactly one isolated periodic traveling wave solution are presented. Finally, we provide a numerical study to illustrate our results.
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