Solitary waves for nonlinear Klein–Gordon equations coupled with Born–Infeld theory

Yu, Yong

Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010), p. 351-376 / Harvested from Numdam

Résumé

We consider the nonlinear Klein–Gordon equations coupled with the Born–Infeld theory under the electrostatic solitary wave ansatz. The existence of the least-action solitary waves is proved in both bounded smooth domain case and $ {\mathbb{R}}^{3}$ case. In particular, for bounded smooth domain case, we study the asymptotic behaviors and profiles of the positive least-action solitary waves with respect to the frequency parameter ω. We show that when κ and ω are suitably large, the least-action solitary waves admit only one local maximum point. When $ \omega \to \infty $, the point-condensation phenomenon occurs if we consider the normalized least-action solitary waves.

Détail

Publié le : 2010-01-01

MR 2580514 | Zbl 1184.35286

DOI : https://doi.org/10.1016/j.anihpc.2009.11.001

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