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

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 $\text{Gr}(N,M{)}_{>0}$ KP solitons. In this paper, we complete rigorous analysis for the direct scattering problem of perturbed $\text{Gr}(N,M{)}_{>0}$ KP solitons}.

References in corpus (1)

• IST of KPII equation for perturbed multisoliton solutions

Cited by in corpus (1)

• Two-dimensional reductions of the Whitham modulation system for the Kadomtsev-Petviashvili equation