Painleve analysis and exact solutions of the fourth-order equation for description of nonlinear waves

被引：16

作者：

Kudryashov, Nikolay A. ^{[1
]}

机构：

[1] Natl Res Nucl Univ MEPHI, Dept Appl Math, Moscow 115409, Russia

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 28卷 / 1-3期

基金：

俄罗斯科学基金会;

关键词：

Nonlinear differential equation; Nonlinear wave; Kuramoto-Sivashinsky equation; Painleve property; Painleve test; Exact solution; Logistic function; F-EXPANSION METHOD; EVOLUTION EQUATION; SOLITARY WAVES; SURFACE-WAVES; TANH METHOD; LIQUID;

D O I：

10.1016/j.cnsns.2015.03.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The fourth-order equation for description of nonlinear waves is considered. A few variants of this equation are studied. Painleve test is applied to investigate integrability of these equations. We show that all these equations are not integrable, but some exact solutions of these equations exist. Analytic solutions in closed-form of the equations are found. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：1 / 9

页数：9

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