The (2+1)-dimensional integrable coupling of KdV equation: Auto-Backlund transformation and new non-traveling wave profiles
文献类型：期刊论文
| 作者 | Yan, ZY
|
| 刊名 | PHYSICS LETTERS A
 |
| 出版日期 | 2005-10-03 |
| 卷号 | 345期号:4-6页码:362-377 |
| 关键词 | integrable coupling Backlund transformatiom Painleve analysis non-traveling wave solution symbolic computation |
| ISSN号 | 0375-9601 |
| DOI | 10.1016/j.physleta.2005.07.052 |
| 英文摘要 | The (2+1)-dimensional integrable coupling of the KdV equation, which was first presented by Ma and Fussteiner from the celebrated KdV equation using the perturbation method of multiple scales u = u(1) + epsilon u(2 ,) y= is an element of x, is investigated. With the aid of symbolic computation, a new auto-Backlund transformation is gained and used to seek, new types of non-traveling wave solutions involving an arbitrary function of y. Moreover a non-traveling wave similarity variable transformation reduces this system to a system of non-linear ordinary differential equations with constant coefficient, which is solved to get non-traveling wave Jacobi elliptic function solutions and Weierstrass elliptic function solutions involving an arbitrary smooth function of y. When the arbitrary function are taken as some special functions, these obtained solutions possess abundant structures. The figures corresponding to these solutions are illustrated to show the rules of the wave propagation related to (2 + 1)-dimensional integrable coupling of the KdV equation. (c) 2005 Published by Elsevier B.V. |
| 语种 | 英语 |
| WOS记录号 | WOS:000232070500016 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1143]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, ZY |
| 作者单位 | 1.CCAST, World Lab, Beijing 100080, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, ZY. The (2+1)-dimensional integrable coupling of KdV equation: Auto-Backlund transformation and new non-traveling wave profiles[J]. PHYSICS LETTERS A,2005,345(4-6):362-377. |
| APA | Yan, ZY.(2005).The (2+1)-dimensional integrable coupling of KdV equation: Auto-Backlund transformation and new non-traveling wave profiles.PHYSICS LETTERS A,345(4-6),362-377. |
| MLA | Yan, ZY."The (2+1)-dimensional integrable coupling of KdV equation: Auto-Backlund transformation and new non-traveling wave profiles".PHYSICS LETTERS A 345.4-6(2005):362-377. |
入库方式： OAI收割
来源：数学与系统科学研究院
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