New Weierstrass semi-rational expansion method to doubly periodic solutions of soliton equations
文献类型：期刊论文
| 作者 | Yan, ZY
|
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2005-03-15 |
| 卷号 | 43期号:3页码:391-396 |
| 关键词 | soliton equations Weierstrass elliptic function doubly periodic solution symbolic computation |
| ISSN号 | 0253-6102 |
| 英文摘要 | Based on the Weierstrass elliptic function equation, a new Weierstrass semi-rational expansion method and its algorithm axe presented. The main idea of the method changes the problem solving soliton equations into another one-solving the corresponding set of nonlinear algebraic equations. With the aid of Maple, we choose the modified KdV equation, (2+1)-dimensional KP equation, and (3+1)-dimensional Jimbo-Miwa equation to illustrate our algorithm. As a consequence, many types of new doubly periodic solutions are obtained in terms of the Weierstrass elliptic function. Moreover the corresponding new Jacobi elliptic function solutions and solitary wave solutions are also presented as simple limits of doubly periodic solutions. |
| 语种 | 英语 |
| WOS记录号 | WOS:000228149400003 |
| 出版者 | IOP PUBLISHING LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1832]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, ZY |
| 作者单位 | 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. New Weierstrass semi-rational expansion method to doubly periodic solutions of soliton equations[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2005,43(3):391-396. |
| APA | Yan, ZY.(2005).New Weierstrass semi-rational expansion method to doubly periodic solutions of soliton equations.COMMUNICATIONS IN THEORETICAL PHYSICS,43(3),391-396. |
| MLA | Yan, ZY."New Weierstrass semi-rational expansion method to doubly periodic solutions of soliton equations".COMMUNICATIONS IN THEORETICAL PHYSICS 43.3(2005):391-396. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。