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 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.

Transactions of the American Mathematical Society, American Mathematical Society, In press

References in corpus (2)

• Multi-travelling waves for the nonlinear klein-gordon equation
• Multi-solitons and related solutions for the water-waves system

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• Lyapunov-type characterisation of exponential dichotomies with applications to the heat and Klein-Gordon equations