English

KdV equation under periodic boundary conditions and its perturbations

Dynamical Systems 2013-10-24 v2

Abstract

In this paper we discuss properties of the KdV equation under periodic boundary conditions, especially those which are important to study perturbations of the equation. Next we review what is known now about long-time behaviour of solutions for perturbed KdV equations.

Keywords

Cite

@article{arxiv.1309.1597,
  title  = {KdV equation under periodic boundary conditions and its perturbations},
  author = {Guan Huang and Sergei Kuksin},
  journal= {arXiv preprint arXiv:1309.1597},
  year   = {2013}
}