几类非线性发展方程的解析解

胡建兰; 张汉林

几类非线性发展方程的解析解

北京工业大学, 应用数理学院, 北京, 100022

详细信息

作者简介:
胡建兰(1965- ),女,广东人,讲师,硕士(Tel:010-62582647);张汉林(1961- ),女,湖北人,副教授,研究生,硕士生导师

中图分类号: O175;O241.7
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- 被引次数: 0
出版历程
- 收稿日期: 2001-11-01
- 修回日期: 2002-11-05
- 刊出日期: 2003-05-15

Analytical Solutions for Some Nonlinear Evolution Equations

Institute of Applied Science, Beijing Polytechnic University, Beijing, 100022, P.R.China

摘要

摘要: 研究下列偏微分方程:广义五阶KdV方程,水波方程,Kupershmidt方程,耦合KdV方程。通过引进一个二阶常微分方程,采用不同的ansatzes方法找到了这些问题的解析解。
- 非线性发展方程 /
- ansatz方法 /
- 解析解
Abstract: The following partial differential equations are studied:generalized fifth-order KdV equation,water wave equation,kupershmidt equation,couples KdV equation.The analytical solutions to these problems via using various ansatzes by introducing a second-order ordinary differential equation are found out.
- nonlinear physical model /
- ansatz method /
- analytical solution

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参考文献(16)

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