Long time asymptotics for the KPII equation
Analysis of PDEs
2026-04-09 v5 Exactly Solvable and Integrable Systems
Abstract
The long-time asymptotics of small Kadomtsev-Petviashvili II (KPII) solutions is derived using the inverse scattering theory and the stationary phase method.
Cite
@article{arxiv.2509.02907,
title = {Long time asymptotics for the KPII equation},
author = {Derchyi Wu},
journal= {arXiv preprint arXiv:2509.02907},
year = {2026}
}
Comments
In this version, we provide the optimal asymptotic estimates within our framework for the regimes $a\gtrless \pm \delta \pm 0$