一类KdV方程的精确解
Exact Solutions for a Class of KdV Equation
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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