Multi-travelling waves for the nonlinear Klein-Gordon equation

Côte, Raphaël; Martel, Yvan

doi:10.1090/tran/7303

Multi-travelling waves for the nonlinear Klein-Gordon equation
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by Raphaël Côte and Yvan Martel PDF

Trans. Amer. Math. Soc. 370 (2018), 7461-7487 Request permission

Corrigendum: Trans. Amer. Math. Soc. 375 (2022), 3755-3757.

Abstract:

For the nonlinear Klein-Gordon equation in $\mathbb {R}^{1+d}$, we prove the existence of multi-solitary waves made of any number $N$ of decoupled bound states. This extends the work of Côte and Muñoz (Forum Math. Sigma 2 (2014)) which was restricted to ground states, as were most previous similar results for other nonlinear dispersive and wave models.

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