Nonlinear Stability of Periodic Traveling Wave Solutions for (n +1)-Dimensional Coupled Nonlinear Klein-Gordon Equations. (6th August 2015)

• Record Type: Journal Article
• Authors: Sun, Cong; Jiang, Bo
• Other Names: Brenner Gunther Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-08-06
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/546121
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.