Quasi-exact solutions of the dissipative Kuramoto-Sivashinsky equation

被引：31
|
作者：
Kudryashov, Nikolay A. [1 ]
机构：
[1] Natl Res Nucl Univ MEPhI, Dept Appl Math, Moscow 115409, Russia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 17期
关键词：
Kuramoto-Sivasinsky equation; Exact solution; Quasi-exact solution; SOLITARY WAVE SOLUTIONS; MODIFIED KUDRYASHOV METHOD; NONLINEAR EVOLUTION; (G'/G)-EXPANSION METHOD; PERIODIC-SOLUTIONS; SIMPLEST EQUATION; TANH METHOD;
D O I：
10.1016/j.amc.2013.03.062
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The dissipative Kuramoto-Sivashinsky equation is studied. It is shown that this equation does not pass the Painleve test and as consequence this equation is not integrable. Quasi-exact solution of the dissipative Kuramoto-Sivashinsky equation is given. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：9213 / 9218
页数：6
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