| A Series of Variable Separation Solutions and New Soliton Structures of （2＋1）-Dimensional Korteweg-de Vries Equation |
| |
| 引用本文： | XU Chang-Zhi. A Series of Variable Separation Solutions and New Soliton Structures of （2＋1）-Dimensional Korteweg-de Vries Equation[J]. 理论物理通讯, 2006, 46(3): 403-406 |
| |
| 作者姓名： | XU Chang-Zhi |
| |
| 作者单位： | Department of Physics, Jinhua Education College, Jinhua 321000, China |
| |
| 基金项目： | The author would like to thank Profs. Jie-Fang Zhang and Chun-Long Zheng for helpful discussions. |
| |
| 摘 要： | Variable separation approach is introduced to solve the （2＋1）-dimensional KdV equation. A series of variable separation solutions is derived with arbitrary functions in system. We present a new soliton excitation model （24）. Based on this excitation, new soliton structures such as the multi-lump soliton and periodic soliton are revealed by selecting the arbitrary function appropriately.
|
| 关 键 词： | 变量分离逼近 （2＋1）维KdV方程 新孤波激发 理论物理 数学物理方法 |
| 收稿时间： | 2005-11-10 |
| 修稿时间： | 2005-11-102006-02-20 |
A Series of Variable Separation Solutions and New Soliton Structures of(2+1)-Dimensional Korteweg-de Vries Equation |
| |
| XU Chang-Zhi. A Series of Variable Separation Solutions and New Soliton Structures of(2+1)-Dimensional Korteweg-de Vries Equation[J]. Communications in Theoretical Physics, 2006, 46(3): 403-406 |
| |
| Authors: | XU Chang-Zhi |
| |
| Affiliation: | Department of Physics, Jinhua Education College, Jinhua 321000, China |
| |
| Abstract: | Variable separation approach is introduced to solvethe (2+1)-dimensional KdV equation. A series of variable separationsolutions is derived with arbitrary functions in system. We presenta new soliton excitation model (24). Based on this excitation,new soliton structures such as the multi-lump soliton and periodicsoliton are revealed by selecting the arbitraryfunction appropriately. |
| |
| Keywords: | variable separation approach (2+1)-dimensional KdV equation new solitonexcitation |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
|
点击此处可从《理论物理通讯》下载全文 |
