Exact solutions of (3+1)-dimensional stochastic Burgers equation

被引：8

作者：

Wang, Tie-Ying ^{[1
]}

Ren, Yong-Hong

Zhao, Ya-Li

机构：

[1] Dalian Nationalities Univ, Dept Appl Math & Phys, Dalian 116600, Peoples R China

[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

[3] Chaoyang Teachers Coll, Dept Math, Chaoyang 122000, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2006年 / 29卷 / 04期

基金：

俄罗斯基础研究基金会; 美国国家科学基金会; 新加坡国家研究基金会; 加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/j.chaos.2005.08.056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A generalized tan h function method is used for constructing exact travelling wave solutions of nonlinear stochastic partial differential equations. The main idea of this method is to take full advantage of the Riccati equation, which has more exact solutions. More Wick-type stochastic multiple soliton-like solutions and triangular periodic solutions are obtained for the (3 + 1)-dimensional Wick-type stochastic Burgers equation via Hermite transformation. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：920 / 927

页数：8

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