Structural Stability for a Class of Nonlinear Wave Equations

被引：0

作者：

Dinlemez, Ulku ^{[1
]}

机构：

[1] Gazi Univ, Fac Art & Sci, Dept Math, Ankara, Turkey

来源：

GAZI UNIVERSITY JOURNAL OF SCIENCE | 2009年 / 22卷 / 02期

关键词：

Degasperis; Procesi equation; Camassa-Holm equation; traveling wave;

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：

In this paper we discuss the structural stability of an initial value problem defined for the equation u(t)-u(txx) + auu(x) = beta u(x)u(xx) + uu(xxx) (i. 1) where alpha,beta are constants, x is an element of R, is an element of R+. For the choices of alpha and beta , (i. 1) describe the nonlinear shallow water waves. Upper and lower bounds are derived for energy decay rate in every finite interval [0, T] which reveals that only the lower bound of the energy decays exponentially.

引用

页码：83 / 87

页数：5

共 5 条

[1] AN INTEGRABLE SHALLOW-WATER EQUATION WITH PEAKED SOLITONS [J].