摘要
通过Hermite变换把Wick-类型的广义随机KdV方程和广义随机mKdV方程变成普通的KdV方程,利用截断展开法和延拓齐次平衡法求出方程的解,然后通过Hermite的逆变换求出相应方程的随机钟状类孤子解.
In this paper, stochastic like-soliton solutions for the gerieralized stochastic KdV and mKdV equations are obtained via the Hermite transformation, truncated expansion method and extended homogeneous balance method. And some bell like-soliton solutions of these equations are given by inversion Hermite transformation.
出处
《广西科学》
CAS
2007年第2期87-90,共4页
Guangxi Sciences
关键词
微分方程
KDV方程
随机
类孤子解
HERMITE变换
截断展开法
延拓齐次平衡法
differential equation, KdV equation,stochastic, like-soliton solution, Hermitetransformation,truncated expansion method ,extended homogeneous balance method
