一类Wick型随机KdV-MKdV方程的白噪声泛函解

J4 ›› 2008, Vol. 43 ›› Issue (5): 45-49 .doi:

一类Wick型随机KdV-MKdV方程的白噪声泛函解

朱宏¹,刘雄²

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

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 朱宏

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

ZHU Hong¹, LIU Xiong²

1. Guangdong Food and Drug Vocational College, Guangzhou 510520, Guangdong, China； 2. School of Mathematics and Computational Science, Zhanjiang Normal College, Zhanjiang 524048, Guangdong, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: ZHU Hong

摘要/Abstract

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。

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

Abstract:

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.

Key words: Wick-typed elliptical stochastic general KdV-MKdV equations; stochastic exact solution, white noise; Almeter transformation

中图分类号:

O175

朱宏,刘雄 . 一类Wick型随机KdV-MKdV方程的白噪声泛函解[J]. J4, 2008, 43(5): 45-49 .

ZHU Hong ,LIU Xiong . White noise functional solutions of a Wick-type stochastic KdV-MKdV equation[J]. J4, 2008, 43(5): 45-49 .

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