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arXiv · 2505.12841

The Ozawa solution to the Davey--Stewartson II equations and surface theory

Yi C. Huang·Iskander A. Taimanov
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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.

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Yi C. Huang, Iskander A. Taimanov. 2025-05-19. The Ozawa solution to the Davey--Stewartson II equations and surface theory. https://arxiv.org/abs/2505.12841

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