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arXiv · 2104.05210

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

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

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Derchyi Wu. 2021-04-12. The direct scattering problem for perturbed Kadomtsev-Petviashvili multi line solitons. https://doi.org/10.1063/5.0053911

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