English

Exact solutions of the Swift-Hohenberg equation with dispersion

Pattern Formation and Solitons 2011-12-23 v1

Abstract

The Swift-Hohenberg equation with dispersion is considered. Traveling wave solutions of the Swift-Hohenberg equation with dispersion are presented. The classification of these solutions is given. It is shown that the Swift-Hohenberg equation without dispersion has only stationary meromorphic solution.

Keywords

Cite

@article{arxiv.1112.5444,
  title  = {Exact solutions of the Swift-Hohenberg equation with dispersion},
  author = {Nikolay A. Kudryashov and Dmitry I. Sinelshchikov},
  journal= {arXiv preprint arXiv:1112.5444},
  year   = {2011}
}