Elliptic equation's new solutions and their applications to two nonlinear partial differential equations
文献类型：期刊论文
| 作者 | Wang, Deng-Shan; Li, Hong-Bo
|
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2007-05-01 |
| 卷号 | 188期号:1页码:762-771 |
| 关键词 | symbolic computation elliptic equation non-travelling wave solution nonlinear partial differential equations |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2006.10.026 |
| 英文摘要 | In the present paper, with the aid of symbolic computation, families of new nontrivial solutions of first-order elliptic equation phi '(2) = a(1)phi + a(2)phi + a(2)phi(2) + a(3)phi(3) + a(4)phi(4) (where phi ' = (d/dx phi)) are obtained. To our knowledge, these nontrivial solutions can not be found in [Chaos Solitons Fract. 26 (2005) 785-794] and [Phys. Lett. A 336 (2005) 463-476] by Yomba and other existent papers until now. By using these nontrivial solutions, a direct algebraic method is described to construct several kinds of exact non-travelling wave solutions for the (2 + 1)-dimensional Breaking soliton equations and the (2 + I)-dimensional asymmetric Nizhnik-Novikov-Vesselov equation. By using this method, many other physically important nonlinear partial differential equations (NLPDEs) can be investigated and new non-travelling wave solutions can be explicitly obtained with the aid of symbolic computation system Maple. (C) 2006 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000247191700085 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4164]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Wang, Deng-Shan |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Deng-Shan,Li, Hong-Bo. Elliptic equation's new solutions and their applications to two nonlinear partial differential equations[J]. APPLIED MATHEMATICS AND COMPUTATION,2007,188(1):762-771. |
| APA | Wang, Deng-Shan,&Li, Hong-Bo.(2007).Elliptic equation's new solutions and their applications to two nonlinear partial differential equations.APPLIED MATHEMATICS AND COMPUTATION,188(1),762-771. |
| MLA | Wang, Deng-Shan,et al."Elliptic equation's new solutions and their applications to two nonlinear partial differential equations".APPLIED MATHEMATICS AND COMPUTATION 188.1(2007):762-771. |
入库方式： OAI收割
来源：数学与系统科学研究院
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