Nonlinear Stability of Periodic Traveling Wave Solutions for (n+1)-Dimensional Coupled Nonlinear Klein-Gordon Equations

被引：0
|
作者：
Sun, Cong [1 ]
Jiang, Bo [2 ]
机构：
[1] Jilin Univ, Coll Math, Changchun 130012, Peoples R China
[2] Jilin Jianzhu Univ, City Coll, Changchun 130111, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷
关键词：
ELLIPTIC FUNCTION EXPANSION; STANDING WAVES; SOLITARY WAVES; INSTABILITY;
D O I：
10.1155/2015/546121
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We study the existence and orbital stability of smooth periodic traveling waves solutions of the (n + 1)-dimensional coupled nonlinear Klein-Gordon equations. Such a system occurs in quantum mechanics, fluid mechanics, and optical fiber communication. Inspired by Angulo Pava's results (2007), and by applying the stability theory established by Grillakis et al. (1987), we prove the existence of periodic traveling waves solutions and obtain the orbital stability of the solutions to this system.
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页数：7
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