Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematics - Analysis of PDEs, Mathematics - Differential Geometry, Primary: 53A05, Secondary: 35B38, 35Q51, 53C42

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.
Comment: Submitted to a journal on May 13, 2025