English

The direct scattering problem for perturbed Kadomtsev-Petviashvili multi line solitons

Exactly Solvable and Integrable Systems 2021-10-04 v1 Analysis of PDEs

Abstract

Regular Kadomtsev-Petviashvili II (KPII) line solitons have been investigated and classified successfully by the Grassmannians. The inverse scattering method provides a promising and powerful approach to study the stability properties of Gr(N,M)>0\textrm{Gr}(N, M)_{> 0} KP solitons. In this paper, we complete rigorous analysis for the direct scattering problem of perturbed Gr(N,M)>0\textrm{Gr}(N, M)_{> 0} KP solitons}.

Keywords

Cite

@article{arxiv.2104.05210,
  title  = {The direct scattering problem for perturbed Kadomtsev-Petviashvili multi line solitons},
  author = {Derchyi Wu},
  journal= {arXiv preprint arXiv:2104.05210},
  year   = {2021}
}