Wick类型随机广义KdvMKdv方程的精确解

Wick类型随机广义KdvMKdv方程的精确解

黄伟祥¹, 宋先发²

1. 广东水利电力职业技术学院数学部，广州 510635; 2. 清华大学应用数学系, 北京 100084

收稿日期:2006-11-16 修回日期:1900-01-01 出版日期:2007-07-26 发布日期:2007-07-26
通讯作者: 黄伟祥

Exact Solutions for Wicktype Stochastic Generalized KdvMKdv Equation

HUANG Weixiang¹, SONG Xianfa²

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

Received:2006-11-16 Revised:1900-01-01 Online:2007-07-26 Published:2007-07-26
Contact: HUANG Weixiang

摘要/Abstract

摘要： 通过埃尔米特变换将Wick类型的随机广义KdvMKdv方程变成广义系数KdvMKdv方程, 利用截断展开法求出广义系数KdvMKdv方程的精确解, 并通过埃尔米特逆变换得到了随机广义KdvMKdv方程的精确解.

关键词: 随机广义KdvMKdv方程, 随机精确解, 白色噪音, 截断展开法, 埃尔米特变换

Abstract: By means of Hermite transformation, the Wicktype stochastic generalized KdvMKdv equation was reduced to stochastic coefficient equation, then some stochastic exact solutions were obtainable via the truncation expansion method and Hermite inverse transformation.

Key words: stochastic generalized KdvMKdv equation, stochastic exact solution, white noise, truncation expansion method, Hermite transformation

中图分类号:

O175

黄伟祥, 宋先发. Wick类型随机广义KdvMKdv方程的精确解[J]. J4, 2007, 45(04): 529-534.

HUANG Weixiang, SONG Xianfa. Exact Solutions for Wicktype Stochastic Generalized KdvMKdv Equation[J]. J4, 2007, 45(04): 529-534.