Traveling wave speed and solution in reaction-diffusion equation in one dimension
文献类型：期刊论文
| 作者 | Zhou, TS; Zhang, SC |
| 刊名 | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
 |
| 出版日期 | 2001-06-01 |
| 卷号 | 22期号:6页码:674-681 |
| 关键词 | Painleve analysis traveling wave excitable media |
| ISSN号 | 0253-4827 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000171208100008 |
| 出版者 | SHANGHAI UNIV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16782]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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