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Multi-travelling waves for the nonlinear klein-gordon equation

Abstract : For the nonlinear Klein-Gordon equation in 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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https://hal.archives-ouvertes.fr/hal-01411081
Contributor : Raphaël Côte <>
Submitted on : Friday, June 5, 2020 - 5:49:14 PM
Last modification on : Tuesday, January 12, 2021 - 4:31:36 PM

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Raphaël Côte, Yvan Martel. Multi-travelling waves for the nonlinear klein-gordon equation. Transactions of the American Mathematical Society, American Mathematical Society, inPress, ⟨10.1090/tran/7303⟩. ⟨hal-01411081v2⟩

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