Symmetry groups and spiral wave solution of a wave propagation equation
文献类型：期刊论文
| 作者 | Zhang, QJ; Qu, CZ |
| 刊名 | CHINESE PHYSICS
 |
| 出版日期 | 2002-03-01 |
| 卷号 | 11页码:207-212 |
| 关键词 | symmetry group optimal system wave propagation spiral wave |
| ISSN号 | 1009-1963 |
| 英文摘要 | We study a third-order nonlinear evolution equation, which can be transformed to the modified KdV equation, using the Lie symmetry method. The Lie point symmetries and the one-dimensional optimal system of the symmetry algebras are determined. Those symmetries are some types of nonlocal symmetries or hidden symmetries of the modified KdV equation. The group-invariant solutions, particularly the travelling wave and spiral wave solutions, are discussed in detail, and a type of spiral wave solution which is smooth in the origin is obtained. |
| WOS关键词 | SIMILARITY REDUCTIONS ; BOUSSINESQ EQUATION ; EVOLUTION-EQUATIONS ; SEPARATION ; VARIABLES |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000174488000001 |
| 出版者 | CHINESE PHYSICAL SOC |
| 源URL | [http://119.78.100.186/handle/113462/37813]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Zhang, QJ |
| 作者单位 | 1.Xidian Univ, Sch Sci, Xian 710071, Peoples R China 2.NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, QJ,Qu, CZ. Symmetry groups and spiral wave solution of a wave propagation equation[J]. CHINESE PHYSICS,2002,11:207-212. |
| APA | Zhang, QJ,&Qu, CZ.(2002).Symmetry groups and spiral wave solution of a wave propagation equation.CHINESE PHYSICS,11,207-212. |
| MLA | Zhang, QJ,et al."Symmetry groups and spiral wave solution of a wave propagation equation".CHINESE PHYSICS 11(2002):207-212. |
入库方式： OAI收割
来源：近代物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。