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:

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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

Abstract

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

CLC Number:

O175

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

References

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