Multi-travelling waves for the nonlinear klein-gordon equation
Analysis of PDEs
2021-01-13 v2
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{\^o}te and Mu{\~n}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.
Cite
@article{arxiv.1612.02625,
title = {Multi-travelling waves for the nonlinear klein-gordon equation},
author = {Raphaël Côte and Yvan Martel},
journal= {arXiv preprint arXiv:1612.02625},
year = {2021}
}
Comments
Transactions of the American Mathematical Society, American Mathematical Society, In press