| (2+1)维色散长波方程组新的无穷序列精确解 |
| |
| 引用本文： | 套格图桑,斯仁道尔吉.(2+1)维色散长波方程组新的无穷序列精确解[J].量子电子学报,2010,27(4):402-410. |
| |
| 作者姓名： | 套格图桑 斯仁道尔吉 |
| |
| 作者单位： | 内蒙古师范大学数学科学学院， 呼和浩特 010022 |
| |
| 基金项目： | 国家自然科学基金，内蒙古自治区高等学校科学研究基金，内蒙古自治区自然科学基金，内蒙古师范大学自然科学青年研究计划 |
| |
| 摘 要： | 为了获得非线性发展方程的无穷序列新精确解, 给出Riccati方程的一些新解和B\"{a}cklund变换以及解的非线性叠加公式, 并Riccati方程与函数变换相结合,借助符号计算系统Mathematica,构造了 (2+1)维维色散长波方程组新的无穷序列精确解. 这些解包括无穷序列类孤子解、无穷序列复合型解等. 这种方法构造非线性发展方程无穷序列精确解领域具有普遍意义.
|
| 关 键 词： | Riccati方程 B¨acklund变换 非线性叠加公式 精确解 |
| 收稿时间： | 2009-08-20 |
| 修稿时间： | 2009-10-19 |
New infinite sequence exact solutions of a set of (2+1)-dimensional dispersive wave equations |
| |
| Taogetusang,Sirendaoerji.New infinite sequence exact solutions of a set of (2+1)-dimensional dispersive wave equations[J].Chinese Journal of Quantum Electronics,2010,27(4):402-410. |
| |
| Authors: | Taogetusang Sirendaoerji |
| |
| Affiliation: | College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China |
| |
| Abstract: | To seek new infinite sequence exact solutions to nonlinear evolution equations, the formula of nonlinear superposition of some new solutions and B\"{a}cklund transformation of Riccati equation are given, and combing Riccati equation with function transformation, new infinite sequence exact solutions to a set of (2+1)-dimensional dispersive wave equations are constructed with the aid of symbolic computation system Mathematica, which include infinite sequence soliton-like solutions and infinite sequence complexiton solutions. The method is of significance to seek infinite sequence exact solutions to other nonlinear evolution equations. |
| |
| Keywords: | Riccati equation B¨acklund transformation the formula of nonlinear superposition exact solution |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《量子电子学报》浏览原始摘要信息 |
|
点击此处可从《量子电子学报》下载全文 |
