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.
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页码：147 / 151
页数：5
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