The Ozawa solution to the Davey--Stewartson II equations and surface theory
Exactly Solvable and Integrable Systems
2025-05-20 v1 Analysis of PDEs
Differential Geometry
Abstract
We describe the Ozawa solution to the Davey--Stewartson II equation from the point of view of surface theory by presenting a soliton deformation of surfaces which is ruled by the Ozawa solution. The Ozawa solution blows up at certain moment and we describe explicitly the corresponding singularity of the deformed surface.
Cite
@article{arxiv.2505.12841,
title = {The Ozawa solution to the Davey--Stewartson II equations and surface theory},
author = {Yi C. Huang and Iskander A. Taimanov},
journal= {arXiv preprint arXiv:2505.12841},
year = {2025}
}
Comments
Submitted to a journal on May 13, 2025