New doubly periodic solutions of nonlinear evolution equations via Weierstrass elliptic function expansion algorithm
文献类型：期刊论文
| 作者 | Yan, ZY; Yan Zhenya
|
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2004-11-15 |
| 卷号 | 42期号:5页码:645-648 |
| 关键词 | Weierstrass elliptic function doubly perodic solution symbolic computation |
| ISSN号 | 0253-6102 |
| 英文摘要 | A Weierstrass elliptic function expansion method and its algorithm are developed in this paper. The method changes the problem solving nonlinear evolution equations into anotherone solving the corresponding system of nonlinear algebraic equations. With the aid of symbolic computation (e.g. Maple), the method is applied to the combined KdV-mKdV equation and (2+1)-dimensional coupled Davey-Stewartson equation. As a consequence, many new types of doubly periodic solutions are obtained in terms of the Weierstrass elliptic function. Jacobi elliptic function solutions and solitary wave solutions are also given as simple limits of doubly periodic solutions. |
| 语种 | 英语 |
| WOS记录号 | WOS:000225674200002 |
| 出版者 | INT ACADEMIC PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19326]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, ZY |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, ZY,Yan Zhenya. New doubly periodic solutions of nonlinear evolution equations via Weierstrass elliptic function expansion algorithm[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2004,42(5):645-648. |
| APA | Yan, ZY,&Yan Zhenya.(2004).New doubly periodic solutions of nonlinear evolution equations via Weierstrass elliptic function expansion algorithm.COMMUNICATIONS IN THEORETICAL PHYSICS,42(5),645-648. |
| MLA | Yan, ZY,et al."New doubly periodic solutions of nonlinear evolution equations via Weierstrass elliptic function expansion algorithm".COMMUNICATIONS IN THEORETICAL PHYSICS 42.5(2004):645-648. |
入库方式： OAI收割
来源：数学与系统科学研究院
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