KMS Of Academy of mathematics and systems sciences, CAS
| Elliptic equation's new solutions and their applications to two nonlinear partial differential equations | |
Wang, Deng-Shan; Li, Hong-Bo
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| 2007-05-01 | |
| Source Publication | APPLIED MATHEMATICS AND COMPUTATION
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| ISSN | 0096-3003 |
| Volume | 188Issue:1Pages:762-771 |
| Abstract | 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. |
| Keyword | symbolic computation elliptic equation non-travelling wave solution nonlinear partial differential equations |
| DOI | 10.1016/j.amc.2006.10.026 |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000247191700085 |
| Publisher | ELSEVIER SCIENCE INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/4165 |
| Collection | 系统科学研究所 |
| Corresponding Author | Wang, Deng-Shan |
| Affiliation | Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| Recommended Citation 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. |
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