English

Global dynamics of the generalized fifth-order KdV equation with critical nonlinearity

Analysis of PDEs 2020-10-12 v1

Abstract

We prove global existence and modified scattering for the solutions of the generalized fifth-order KdV equation with critical nonlinearity for small and localized initial data. The proof is undergoing by using the space-time resonance method and the stationary phase argument.

Keywords

Cite

@article{arxiv.2006.03808,
  title  = {Global dynamics of the generalized fifth-order KdV equation with critical nonlinearity},
  author = {Yuexun Wang},
  journal= {arXiv preprint arXiv:2006.03808},
  year   = {2020}
}