On the periodic Schrodinger-Boussinesq system

被引：31

作者：

Farah, Luiz Gustavo ^{[1
,3
]}

Pastor, Ademir ^{[1
,2
]}

机构：

[1] IMECC UNICAMP, BR-13083859 Campinas, SP, Brazil

[2] IMPA Inst Nacl Matemat Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil

[3] Univ Fed Minas Gerais, Dept Matemat, BR-30123970 Belo Horizonte, MG, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 368卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Schrodinger-Boussinesq system; Global well-posedness; Periodic waves; Orbital stability; SOLITARY WAVES; STABILITY; EQUATIONS; ZAKHAROV;

D O I：

10.1016/j.jmaa.2010.03.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the local and global well-posedness of the periodic boundary value problem for the nonlinear Schrodinger-Boussinesq system. The existence of periodic traveling-wave solutions as well as the orbital stability of such solutions are also considered. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：330 / 349

页数：20

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