Determination of approximate non-linear self-adjointness and approximate conservation law
文献类型：期刊论文
| 作者 | Zhang, Zhi-Yong1; Chen, Yu-Fu2 |
| 刊名 | Ima journal of applied mathematics
 |
| 出版日期 | 2015-06-01 |
| 卷号 | 80期号:3页码:728-746 |
| 关键词 | Non-linear self-adjointness Approximate non-linear self-adjointness Approximate conservation laws Perturbed pdes |
| ISSN号 | 0272-4960 |
| DOI | 10.1093/imamat/hxu017 |
| 通讯作者 | Zhang, zhi-yong(zhiyong-2008@163.com) |
| 英文摘要 | In this paper, we analyse the connection between approximate non-linear self-adjointness of perturbed partial differential equations (pdes) and non-linear self-adjointness of the corresponding unperturbed pdes, and consequently provide a simple approach to discriminate approximate non-linear self-adjointness of perturbed pdes. moreover, a succinct approximate conservation law formula by virtue of the known conservation laws of the corresponding unperturbed pdes is given in an explicit form. as an application, we classify a class of perturbed wave equations to be approximately non-linearly self-adjoint and construct its general approximate conservation law formula. the specific examples demonstrate that approximate non-linear self-adjointness can be used to construct new approximate conservation laws of perturbed pdes. |
| WOS关键词 | PARTIAL-DIFFERENTIAL-EQUATIONS ; DIRECT CONSTRUCTION METHOD ; NOETHER-TYPE SYMMETRIES ; SMALL-PARAMETER ; VARIATIONAL-PRINCIPLES ; PARTIAL LAGRANGIANS ; SYSTEMS ; PDES |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied |
| 语种 | 英语 |
| WOS记录号 | WOS:000355918000008 |
| 出版者 | OXFORD UNIV PRESS |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2376738 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Zhang, Zhi-Yong |
| 作者单位 | 1.North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Zhi-Yong,Chen, Yu-Fu. Determination of approximate non-linear self-adjointness and approximate conservation law[J]. Ima journal of applied mathematics,2015,80(3):728-746. |
| APA | Zhang, Zhi-Yong,&Chen, Yu-Fu.(2015).Determination of approximate non-linear self-adjointness and approximate conservation law.Ima journal of applied mathematics,80(3),728-746. |
| MLA | Zhang, Zhi-Yong,et al."Determination of approximate non-linear self-adjointness and approximate conservation law".Ima journal of applied mathematics 80.3(2015):728-746. |
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来源：中国科学院大学
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