Orbital stability of solitary wave solutions of Zakharov-Rubenchik equation

被引：3
作者：
Liu, XiaoHua [1 ]
机构：
[1] Guizhou Minzu Univ, Sch Data Sci & Informat Engn, Guiyang 550025, Guizhou, Peoples R China
来源：
PURE AND APPLIED MATHEMATICS QUARTERLY | 2017年 / 13卷 / 04期
关键词：
Solitary wave solution; undeterminded coefficient method; orbital stability; the Zakharov-Rubenchik equation; WELL-POSEDNESS;
D O I：
10.4310/PAMQ.2017.v13.n4.a4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study orbital stability of bell-shaped solitary wave solutions of the Zakharov-Rubenchik equation for the interaction of high-frequency and low-frequency waves in an arbitrary medium. Our approach is based on the theories of orbital stability presented by Grillakis, Shatah and Strauss, and relies on a reformulation of the coupled equations in Hamiltonian form. We investigate stability of solitary wave solutions by ascertaining the number of negative eigenvalues of the linear operator and the number of positive eigenvalues of its Hessian of the scalar function.
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收藏
页码：693 / 710
页数：18
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