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arXiv · 1612.02625

Multi-travelling waves for the nonlinear klein-gordon equation

Raphaël Côte·Yvan Martel
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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 C{ô}te and Mu{ñ}oz (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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Raphaël Côte, Yvan Martel. 2021-01-12. Multi-travelling waves for the nonlinear klein-gordon equation. https://doi.org/10.1090/tran%2F7303

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