{"title":"一类广义Burgers-Fisher方程周期行波解的存在性","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":"{\"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}","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}
Existence of periodic traveling wave solutions of a family of generalized Burgers-Fisher equations
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.
期刊介绍：
The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
Papers are sought which employ one or more of the following areas of classical analysis:
• Analytic number theory
• Functional analysis and operator theory
• Real and harmonic analysis
• Complex analysis
• Numerical analysis
• Applied mathematics
• Partial differential equations
• Dynamical systems
• Control and Optimization
• Probability
• Mathematical biology
• Combinatorics
• Mathematical physics.
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