| New Compacton-Like and Solitary Pattern-Like Solutions of （2＋1）-Dimensional Generalization of Modified KdV Equation |
| |
| 作者姓名： | CHEN Yong YAN Zhen-Ya |
| |
| 作者单位： | [1]Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China [2]Key Laboratory of Mathematics Mechanization, Institute of System Science, Academy of Mathematics and System Sciences, the Chinese Academy of Sciences, Beijing 100080, China |
| |
| 基金项目： | The project supported by Natural Science Foundation of Zhejiang Province of China under Grant No. Y604056, Postdoctoral Science Foundation of China, National Natural Science Foundation of China under Grant No. 10401039, the State Key Basic Research Project of China under Grant No. 2004CB318000, and the Scientific Research Foundation for the Returned 0verseas Chinese Scholars of the Ministry of Education of China |
| |
| 摘 要： | Recently some （1＋1）-dimensional nonlinear wave equations with linearly dispersive terms were shown to possess compacton-like and solitary pattern-like solutions. In this paper, with the aid of Maple, new solutions of （2＋1）- dimensional generalization of mKdV equation, which is of only linearly dispersive terms, are investigated using three new transformations. As a consequence, it is shown that this （2＋1）-dimensional equation also possesses new compacton-like solutions and solitary pattern-like solutions.
|
| 关 键 词： | 非线性波方程 KdV方程 光学弥散 孤立模式 双曲线函数 |
| 收稿时间： | 2005-01-19 |
| 修稿时间： | 2005-01-19 |
| 本文献已被 维普 等数据库收录！ |
|
