一类Wick型随机KdV-MKdV方程的白噪声泛函解

White noise functional solutions of a Wick-type stochastic KdV-MKdV equation

利用埃尔米特变换求出了Wick类型的随机广义KdV-MKdV方程的精确解,这种方法的基本思想是通过埃尔米特变换把Wick类型的随机广义KdV-MKdV方程变成广义系数KdV,利用一种变换方法求出方程的精确解,然后通过埃尔米特的逆变换求出方程的精确解。

The basic theory of utilizing Almeter transformation to get the exact solution to Wick-typed stochastic general KdV-MKdV equations set is as follows： first, the Wick-typed stochastic general KdV-MKdV equations set was changed into general coefficient KdV equations set by Almeter transformation; then, the exact solution to the KdV equations set was obtained by the methods of a special transformation; finally, the exact solution to the original equations set was obtained by the Almeter inverse transformation.