Consistent Riccati expansion and exact solutions of the Kuramoto-Sivashinsky equation

被引：10

作者：

Chen, Mingxing ^{[1
]}

Hua, Hengchun ^{[1
,2
]}

Zhu, Haidong ^{[3
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

[2] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA

[3] Chinese Acad Sci, Shanghai Inst Opt & Fine Mech, Natl Lab High Power Laser & Phys, Shanghai 201800, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2015年 / 49卷

基金：

中国国家自然科学基金;

关键词：

CRE method; Kuramoto-Sivashinsky equation; Interaction wave solution; TURBULENCE; SOLITONS;

D O I：

10.1016/j.aml.2015.05.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A consistent Riccati expansion (CRE) method is developed for a special Kuramoto-Sivashinsky (KS) equation and we prove the general KS equation is non-CRE solvable. Furthermore, we obtain the soliton cnoidal wave interaction solution of the special KS equation. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：147 / 151

页数：5

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