Traveling wave speed and solution in reaction-diffusion equation in one dimension

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	Traveling wave speed and solution in reaction-diffusion equation in one dimension
	Zhou, TS; Zhang, SC
	2001-06-01
发表期刊	APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN	0253-4827
卷号	22 期号:6 页码:674-681
摘要	By Painleve analysis, traveling wave speed and solution of reaction-diffusion equations for the concentration of one species in one spatial dimension are in detail investigated. When the exponent of the creation term is larger than the one of the annihilation term, two typical cases are studied, one with the exact traveling wave solutions, yielding the values of speeds, the other with the series expansion solution, also yielding the value of speed. Conversely, when the exponent of creation term is smaller than the one of the annihilation term, two typical cases are also studied, but only for one of them, there is a series development solution, yielding the value of speed, and for the other, traveling wave solution cannot exist. Besides, the formula of calculating speeds and solutions of planar wave within the thin boundary layer are given for a class of typical excitable media.
关键词	Painleve analysis traveling wave excitable media
语种	英语
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000171208100008
出版者	SHANGHAI UNIV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16783
专题	中国科学院数学与系统科学研究院
通讯作者	Zhou, TS
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhou, TS,Zhang, SC. Traveling wave speed and solution in reaction-diffusion equation in one dimension[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2001,22(6):674-681.
APA	Zhou, TS,&Zhang, SC.(2001).Traveling wave speed and solution in reaction-diffusion equation in one dimension.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,22(6),674-681.
MLA	Zhou, TS,et al."Traveling wave speed and solution in reaction-diffusion equation in one dimension".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 22.6(2001):674-681.