New traveling waves solutions to generalized Kaup-Kupershmidt and Ito equations

被引：11
|
作者：
Gomez S, Cesar A. [1 ]
机构：
[1] Univ Nacl Colombia, Dept Math, Bogota, Colombia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 01期
关键词：
Fifth-order KdV equations; Standard KK equation; General KK equation; Standard Ito equation; General Ito equation; Traveling wave solutions; Projective Riccati equation method;
D O I：
10.1016/j.amc.2010.01.045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a special fifth-order KdV equation with constant coefficients and we obtain traveling wave solutions for it, using the projective Riccati equation method. By mean of a scaling, exact solutions to general Kaup-Kupershmidt (KK) equation are obtained. As a particular case, exact solutions to standard KK equation can be derived. Using the same method, we obtain exact solutions to standard Ito equation. By mean of scaling, new exact solutions to general Ito equation are formally derived. (C) 2010 Elsevier Inc. All rights reserved.
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页码：241 / 250
页数：10
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