Large-Time Asymptotics for the Kadomtsev-Petviashvili I Equation
Analysis of PDEs
2025-03-24 v2
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.
Keywords
Cite
@article{arxiv.2409.14480,
title = {Large-Time Asymptotics for the Kadomtsev-Petviashvili I Equation},
author = {Samir Donmazov and Jiaqi Liu and Peter Perry},
journal= {arXiv preprint arXiv:2409.14480},
year = {2025}
}
Comments
60 pages, 2 figures