一类KdV方程的精确解

基金项目:

河南省高校科技创新人才支持计划(2009-HASTIT-007)

河南理工大学青年基金资助项目(Q2009-31)

Exact Solutions for a Class of KdV Equation

1.
School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454000,China
2.
Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430000,China

摘要: 利用变分法,通过引入函数变换将偏微分方程转化为常微分方程求解,简洁地求得了KdV方程与广义KdV方程新的精确解析解.同时利用对方程直接积分的方法构造了广义KdV方程新的精确解析解.更多还原
- KdV方程 /
- 广义KdV方程 /
- 精确解 /
- 变分法 /
- 直接积分法
Abstract: With the variational method,the PDE is transformed to ODE,by introducing the function transformation,then the KdV equation and generalized KdV equation are solved and some new exact solutions are obtained.Meanwhile the exact solution for generalized KdV equation is constructed by using the integral method.更多还原
- KdV equation /
- generalized KdV equation /
- exact solution /
- variational method /
- integral method

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谢茂森