Exact solutions for the Wick-type stochastic Kersten-Krasil'shchik coupled KdV-mKdV equations

被引：6
|
作者：
Singh, S. [1 ]
Ray, S. Saha [1 ]
机构：
[1] Natl Inst Technol Rourkela, Dept Math, Rourkel 769008, India
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2017年 / 132卷 / 11期
关键词：
PERIODIC-WAVE SOLUTIONS; PARTIAL-DIFFERENTIAL-EQUATIONS; SYSTEM;
D O I：
10.1140/epjp/i2017-11761-8
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this article, exact solutions of Wick-type stochastic Kersten-Krasil'shchik coupled KdVmKdV equations have been obtained by using the Jacobian elliptic function expansion method. We have used the Hermite transform for transforming the Wick-type stochastic Kersten-Krasil'shchik coupled KdVmKdV equation into a deterministic partial differential equation. Also, we have applied the inverse Hermite transform for obtaining a set of stochastic solutions in the white noise space.
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页数：12
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