Large KAM tori for quasi-linear perturbations of KdV
Analysis of PDEs
2019-10-17 v2 Dynamical Systems
Abstract
In this paper we prove the persistence of space periodic multi-solitons of arbitrary size under any quasi-linear Hamiltonian perturbation, which is smooth and sufficiently small. This answers positively a longstanding question whether KAM techniques can be further developed to prove the existence of quasi-periodic solutions of arbitrary size of strongly nonlinear perturbations of integrable PDEs.
Keywords
Cite
@article{arxiv.1908.08768,
title = {Large KAM tori for quasi-linear perturbations of KdV},
author = {Massimiliano Berti and Thomas Kappeler and Riccardo Montalto},
journal= {arXiv preprint arXiv:1908.08768},
year = {2019}
}
Comments
The new version contains a revised introduction