Stability of the standing waves for a class of coupled nonlinear Klein-Gordon equations |
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Authors: | Jian Zhang Zai-hui Gan Bo-ling Guo |
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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
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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. |
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Keywords: | Coupled nonlinear Klein-Gordon equations Stability Standing wave Variational calculus |
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