English

Interaction of 3 solitons for the GKdV-4 equation

Analysis of PDEs 2015-04-10 v1

Abstract

We describe an approach to construct multi-soliton asymptotic solutions for non-integrable equations. The general idea is realized in the case of three waves and for the KdV-type equation with nonlinearity u4u^4. A brief review of asymptotic methods as well as results of numerical simulation are included.

Keywords

Cite

@article{arxiv.1504.02167,
  title  = {Interaction of 3 solitons for the GKdV-4 equation},
  author = {Georgy Omel'yanov},
  journal= {arXiv preprint arXiv:1504.02167},
  year   = {2015}
}

Comments

32 pages, 4 figures