English

Direct and inverse scattering for the Boussinesq equation with solitons

Analysis of PDEs 2023-03-01 v1 Mathematical Physics math.MP

Abstract

In a recent paper, we developed an inverse scattering approach to the Boussinesq equation in the case when no solitons are present. In this paper, we extend this approach to include solutions with solitons.

Keywords

Cite

@article{arxiv.2302.14593,
  title  = {Direct and inverse scattering for the Boussinesq equation with solitons},
  author = {Christophe Charlier and Jonatan Lenells},
  journal= {arXiv preprint arXiv:2302.14593},
  year   = {2023}
}

Comments

37 pages, 5 figures