SOLUTIONS FOR ONE CLASS OF NONLINEAR FOURTH-ORDER PARTIAL DIFFERENTIAL EQUATIONS

被引：0
|
作者：
Suksern, Supaporn [1 ]
机构：
[1] Naresuan Univ, Dept Math, Fac Sci, Phitsanulok 65000, Thailand
来源：
SURANAREE JOURNAL OF SCIENCE AND TECHNOLOGY | 2011年 / 18卷 / 02期
关键词：
Linearization problem; point transformation; nonlinear ordinary differential equation; travelling wave solution;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Some solutions for one class of nonlinear fourth-order partial differential equations u(tt)=(Ku+gamma u(2))(xx) +nu uu(xxxx )+ mu u(xxtt) + alpha u(x) u(xxx) + beta u(xx)(2) where alpha, beta, gamma, nu and kappa are arbitrary constants are presented in the paper. This equation may be thought of as a fourth-order analogue of a generalization of the Camassa-Holm equation, in which there has been considerable interest recently. Furthermore, this equation is a Boussinesq-type equation which arises as a model of vibrations of harmonic mass-spring chain. The idea of travelling wave solutions and linearization criteria for fourth-order ordinary differential equations by point transformations is applied to this problem.
引用
收藏
页码：153 / 157
页数：5
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