| Complexiton solutions of the （2＋1）-dimensional dispersive long wave equation |
| |
| 引用本文： | 陈勇,范恩贵.Complexiton solutions of the （2＋1）-dimensional dispersive long wave equation[J].中国物理 B,2007,16(1):6-15. |
| |
| 作者姓名： | 陈勇 范恩贵 |
| |
| 作者单位： | (1)Institute of Mathematics, Fudan University, Shanghai 200433, China; (2)Nonlinear Science Center and Department of Mathematics, Ningbo University,Ningbo 315211, China;Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China |
| |
| 基金项目： | Project supported by China
Postdoctoral Science Foundation, Natural Science Foundation of
Zhejiang Province of China (Grant No Y604056)
and Ningbo Doctoral Foundation of China (Grant No 2005A610030). |
| |
| 摘 要： | In this pager a pure algebraic method implemented in a computer
algebraic system, named multiple Riccati equations rational
expansion method, is presented to construct a novel class of
complexiton solutions to integrable equations and nonintegrable
equations. By solving the (2+1)-dimensional dispersive long wave
equation, it obtains many new types of complexiton solutions such as
various combination of trigonometric periodic and hyperbolic
function solutions, various combination of trigonometric periodic
and rational function solutions, various combination of hyperbolic
and rational function solutions, etc.
|
| 关 键 词： | （2＋1）维分散长波方程 不可积方程 解法 多重等式理性展开法 |
| 收稿时间： | 2005-09-12 |
| 修稿时间： | 2005-09-122006-05-31 |
Complexiton solutions of the (2+1)-dimensional dispersive long wave equation |
| |
| Chen Yong and Fan En-Gui.Complexiton solutions of the (2+1)-dimensional dispersive long wave equation[J].Chinese Physics B,2007,16(1):6-15. |
| |
| Authors: | Chen Yong and Fan En-Gui |
| |
| Institution: | Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China; Institute of Mathematics, Fudan University, Shanghai 200433, China;Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100080, China |
| |
| Abstract: | In this pager a pure algebraic method implemented in a computer
algebraic system, named multiple Riccati equations rational
expansion method, is presented to construct a novel class of
complexiton solutions to integrable equations and nonintegrable
equations. By solving the (2+1)-dimensional dispersive long wave
equation, it obtains many new types of complexiton solutions such as
various combination of trigonometric periodic and hyperbolic
function solutions, various combination of trigonometric periodic
and rational function solutions, various combination of hyperbolic
and rational function solutions, etc. |
| |
| Keywords: | multiple Riccati equations rational expansion method complexiton solution |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
| 点击此处可从《中国物理 B》下载免费的PDF全文 |
|
