Nonlinear Stability of a One-Dimensional Boussinesq Equation

被引：19

作者：

José Rául Quintero

机构：

[1] Universidad del Valle,Departamento Matemáticas

[2] A.A,undefined

来源：

Journal of Dynamics and Differential Equations | 2003年 / 15卷 / 1期

关键词：

Boussinesq equation; solitary wave; concentration-compactness; stability theory; convexity;

D O I：

10.1023/A:1026109529292

中图分类号：

学科分类号：

摘要：

We study nonlinear orbital stability and instability of the set of ground state solitary wave solutions of a one-dimensional Boussinesq equation or one-dimensional Benney–Luke equation. It is shown that a solitary wave (traveling wave with finite energy) may be orbitally stable or unstable depending on the range of the wave's speed of propagation.

引用

页码：125 / 142

页数：17

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