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arXiv · 2409.14480

Large-Time Asymptotics for the Kadomtsev-Petviashvili I Equation

Samir Donmazov·Jiaqi Liu·Peter Perry
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Abstract

We prove large time asymptotics for solutions of the KP I equation with small initial data. Our assumptions on the initial data rule out lump solutions but give a precise description of the radiation field at large times. Our analysis uses the inverse scattering method and involves large-time asymptotics for solutions to a non-local Riemann-Hilbert problem.

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Samir Donmazov, Jiaqi Liu, Peter Perry. 2024-09-22. Large-Time Asymptotics for the Kadomtsev-Petviashvili I Equation. https://arxiv.org/abs/2409.14480

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