A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations
文献类型：期刊论文
| 作者 | Zhang, Zhiyong1,2; Chen, Yufu2 |
| 刊名 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
 |
| 出版日期 | 2011-09-01 |
| 卷号 | 74期号:13页码:4300-4318 |
| 关键词 | Approximate symmetry Optimal system Reduction Approximate homotopy symmetry |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2011.03.005 |
| 英文摘要 | A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations is performed. First, complete infinite-order approximate symmetry classification of the equation is obtained by means of the method originated by Fushchich and Shtelen. An optimal system of one-dimensional subalgebras is derived and used to construct general formulas of approximate symmetry reductions and similarity solutions. Second, we study approximate homotopy symmetry of the equation and construct connections between the two symmetry methods for the first-order and higher-order cases, respectively. The series solutions derived by the two methods are compared. (c) 2011 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000291006900002 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11295]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Zhiyong |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Zhiyong,Chen, Yufu. A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2011,74(13):4300-4318. |
| APA | Zhang, Zhiyong,&Chen, Yufu.(2011).A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,74(13),4300-4318. |
| MLA | Zhang, Zhiyong,et al."A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 74.13(2011):4300-4318. |
入库方式： OAI收割
来源：数学与系统科学研究院
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