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

Abstract EN

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.