KMS Of Academy of mathematics and systems sciences, CAS
| Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations | |
| Zhang, Zhiyong1,2; Gao, Ben1; Chen, Yufu1 | |
| 2011-07-01 | |
| Source Publication | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
 |
| ISSN | 1007-5704 |
| Volume | 16Issue:7Pages:2709-2719 |
| Abstract | A complete second-order approximate symmetry classification of a class of perturbed non-linear wave equations with a arbitrary function is performed by means of the method originated from Fushchich and Shtelen. An optimal system of one-dimensional subalgebras is given. Based on the Lie symmetry reduction method, large classes of approximate reductions and invariant solutions of the equations are constructed. (C) 2010 Elsevier B.V. All rights reserved. |
| Keyword | Approximate symmetry Lie reduction Approximate invariant solution Optimal system |
| DOI | 10.1016/j.cnsns.2010.10.012 |
| Language | 英语 |
| WOS Research Area | Mathematics ; Mechanics ; Physics |
| WOS Subject | Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical |
| WOS ID | WOS:000288639900007 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/12953 |
| Collection | 中国科学院数学与系统科学研究院 |
| Affiliation | 1.Chinese Acad Sci, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Zhang, Zhiyong,Gao, Ben,Chen, Yufu. Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2011,16(7):2709-2719. |
| APA | Zhang, Zhiyong,Gao, Ben,&Chen, Yufu.(2011).Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,16(7),2709-2719. |
| MLA | Zhang, Zhiyong,et al."Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 16.7(2011):2709-2719. |
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