English

Scattering problem for Zakharov-Kuznetsov equation in three space dimensions

Analysis of PDEs 2026-03-25 v2

Abstract

This paper is a continuation of our previous study arXiv:2507.01288 on the scattering problem for the Zakharov-Kuznetsov equation (ZK). When the space dimension is three, we construct a global solution to (ZK) which scatters to a given free solution without smallness assumption on the asymptotic states.

Keywords

Cite

@article{arxiv.2603.01338,
  title  = {Scattering problem for Zakharov-Kuznetsov equation in three space dimensions},
  author = {Jun-ichi Segata},
  journal= {arXiv preprint arXiv:2603.01338},
  year   = {2026}
}
R2 v1 2026-07-01T10:58:20.560Z