一种Wick类型的随机广义Kdv方程的精确解

广东工业大学学报 ›› 2007, Vol. 24 ›› Issue (2): 27-32.

一种Wick类型的随机广义Kdv方程的精确解

广东水利电力职业技术学院；清华大学应用数学系广东广州510635；北京100084；

出版日期:2007-07-02 发布日期:2007-07-02
基金资助:
中国博士后科学基金资助项目(2005037057)

Exact Solutions for Wick-type Stochastic Generalized kdv Equation

(1.Guangdong Technical College of Water Resources and Electric Engineering,Guangzhou 510635,China;2.Department of Applied Mathematics,Tsinghua University,Beijing 100084,China)

Online:2007-07-02 Published:2007-07-02

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变成广义系数Kdv,利用广义展开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方程；随机精确解；白色噪音；广义展开法；埃尔米特变换；

Abstract: In the paper,by using Hermite tranformation,Wicktype stochastic generalized kdv equation is reduce to stochastic coefficient equation,then some stochastic exact solutions are obtained via generalized expansion method and Hermite inverse transformation.

Key words: Wick-type stochastic generalized kdv equation； stochastic exact solution； White noise； generalized expansion method； Hermite transformation；

黄伟祥；宋先发； . 一种Wick类型的随机广义Kdv方程的精确解[J]. 广东工业大学学报, 2007, 24(2): 27-32.

HUANG Wei-xiang,SONG Xian-fa . Exact Solutions for Wick-type Stochastic Generalized kdv Equation[J]. Journal of Guangdong University of Technology, 2007, 24(2): 27-32.

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