The direct scattering problem for the perturbed $\text{Gr}(1,2{)}_{\ge 0}$ Kadomtsev-Petviashvili solitons

Abstract

Regular Kadomtsev-Petviashvili (KP) solitons have been investigated and classified successfully by the Grassmannian. We provide rigorous analysis for the direct scattering problem of perturbed $\text{Gr}(1,2{)}_{\ge 0}$ KP solitons.

References in corpus (1)

• Global well-posedness of the KP-I initial-value problem in the energy space

Cited by in corpus (1)

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