Quasi-exact solutions of nonlinear differential equations

被引：12

作者：

Kudryashov, Nikolay A. ^{[1
]}

Kochanov, Mark B. ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 04期

关键词：

Quasi-exact solution; Nonlinear differential equation; Kuramoto-Sivashinsky equation; Kawahara equation; Korteweg-de Vries-Burgers equation; KURAMOTO-SIVASHINSKY EQUATION; TRAVELING-WAVE SOLUTIONS; FINDING EXACT-SOLUTIONS; EVOLUTION-EQUATIONS; SIMPLEST EQUATION; NONINTEGRABLE EQUATIONS; MEROMORPHIC SOLUTIONS; PERIODIC-SOLUTIONS; TANH METHOD; SOLITARY;

D O I：

10.1016/j.amc.2012.08.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The concept of quasi-exact solutions of nonlinear differential equations is introduced. Quasi-exact solution expands the idea of exact solution for additional values of parameters of differential equation. These solutions are approximate ones of nonlinear differential equations but they are close to exact solutions. Quasi-exact solutions of the the Kuramoto-Sivashinsky, the Korteweg-de Vries-Burgers and the Kawahara equations are founded. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1793 / 1804

页数：12

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