English

Hylomorphic solitons for the generalized KdV equation

Mathematical Physics 2014-10-14 v1 math.MP

Abstract

In this paper we prove the existence of hylomorphic solitons in the generalized KdV equation. A soliton is called hylomorphic if it is a solitary wave whose stability is due to a particular relation between energy and another integral of motion which we call hylenic charge.

Keywords

Cite

@article{arxiv.1410.3350,
  title  = {Hylomorphic solitons for the generalized KdV equation},
  author = {Vieri Benci and Donato Fortunato},
  journal= {arXiv preprint arXiv:1410.3350},
  year   = {2014}
}
R2 v1 2026-06-22T06:21:40.142Z