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

作　　者：朱宏[1] 刘雄[2] 

机构地区：[1]广东食品药品职业学院,广东广州510520 [2]湛江师范学院数学与计算科学学院,广东湛江524048

出　　处：《山东大学学报（理学版）》2008年第5期45-49,53,共6页Journal of Shandong University(Natural Science)

基　　金：广东省自然科学基金资助项目(06301315)

摘　　要：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.

关 键 词：wick类型的随机广义KdV—MKdV方程 随机精确解 白色噪音 埃尔米特变换 

分 类 号：O175[理学—数学]