English

KAM for autonomous quasi-linear perturbations of KdV

Analysis of PDEs 2014-04-14 v1

Abstract

We prove the existence and stability of Cantor families of quasi-periodic, small amplitude solutions of quasi-linear (i.e. strongly nonlinear) autonomous Hamiltonian perturbations of KdV.

Keywords

Cite

@article{arxiv.1404.3125,
  title  = {KAM for autonomous quasi-linear perturbations of KdV},
  author = {Pietro Baldi and Massimiliano Berti and Riccardo Montalto},
  journal= {arXiv preprint arXiv:1404.3125},
  year   = {2014}
}

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49 pages