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Exploring New Traveling Wave Solutions for the Spatiotemporal Evolution of a Special Reaction-Diffusion Equation by Extended Riccati Equation Method

文献类型：期刊论文

作者Wu, Guojiang2; Guo, Yong1; Yu, Yanlin2
刊名SYMMETRY-BASEL
出版日期2024-09-01
卷号16
关键词reaction-diffusion equation traveling wave solutions auxiliary equation Riccati equation nonlinear wave phenomenon
DOI10.3390/sym16091106
通讯作者Guo, Yong(yguo@ipp.ac.cn) ; Yu, Yanlin(yuyanlin_121@163.com)
英文摘要In this work, we aim to explore new exact traveling wave solutions for the reaction-diffusion equation, which describes complex nonlinear phenomena such as cell growth and chemical reactions in nature. Obtaining exact solutions to this equation is crucial for understanding aspects such as reaction activity and the diffusion coefficient. We solve the reaction-diffusion equation by using the Riccati equation as an auxiliary equation. By controlling the parameters in the Riccati equation, we obtained a large number of traveling wave solutions, many of which were not formerly recorded in other documents. Numerical simulations demonstrate the evolution of various traveling waves of the reaction-diffusion equation in time and space. These rich exact solutions and wave phenomena help to expand our knowledge of this equation.
WOS关键词ELLIPTIC FUNCTION EXPANSION ; SOLITARY WAVE ; TANH METHOD ; SCHRODINGER
资助项目Doctoral of Kaili University[BS20240209] ; Specialized Fund for the Doctoral of Kaili University[12275307] ; Specialized Fund for the Doctoral of Kaili University[11575238] ; National Natural Science Foundation of China
WOS研究方向Science & Technology - Other Topics
语种英语
WOS记录号WOS:001323953000001
出版者MDPI
资助机构Doctoral of Kaili University ; Specialized Fund for the Doctoral of Kaili University ; National Natural Science Foundation of China
源URL[http://ir.hfcas.ac.cn:8080/handle/334002/135658]  
专题中国科学院合肥物质科学研究院
通讯作者Guo, Yong; Yu, Yanlin
作者单位1.Chinese Acad Sci, Hefei Inst Phys Sci, Inst Plasma Phys, Hefei 230031, Peoples R China
2.Kaili Univ, Sch Sci, Kaili 556000, Peoples R China
推荐引用方式
GB/T 7714		 Wu, Guojiang,Guo, Yong,Yu, Yanlin. Exploring New Traveling Wave Solutions for the Spatiotemporal Evolution of a Special Reaction-Diffusion Equation by Extended Riccati Equation Method[J]. SYMMETRY-BASEL,2024,16.
APA Wu, Guojiang,Guo, Yong,&Yu, Yanlin.(2024).Exploring New Traveling Wave Solutions for the Spatiotemporal Evolution of a Special Reaction-Diffusion Equation by Extended Riccati Equation Method.SYMMETRY-BASEL,16.
MLA Wu, Guojiang,et al."Exploring New Traveling Wave Solutions for the Spatiotemporal Evolution of a Special Reaction-Diffusion Equation by Extended Riccati Equation Method".SYMMETRY-BASEL 16(2024).

入库方式： OAI收割

来源：合肥物质科学研究院

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