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

被引：7

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.

引用

页数：12

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