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Stability of the standing waves for a class of coupled nonlinear Klein-Gordon equations
Authors:Jian Zhang  Zai-hui Gan  Bo-ling Guo
Institution:1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610066, China
2. Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China
Abstract:This paper deals with the standing waves for a class of coupled nonlinear Klein-Gordon equations with space dimension N ≥ 3, 0 < p, q < 2 / N−2 and p + q < 4/N. By using the variational calculus and scaling argument, we establish the existence of standing waves with ground state, discuss the behavior of standing waves as a function of the frequency ω and give the sufficient conditions of the stability of the standing waves with the least energy for the equations under study.
Keywords:Coupled nonlinear Klein-Gordon equations  Stability  Standing wave  Variational calculus
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