2025/05/19 by Huang, Yi C., Taimanov, Iskander A.
#35Q51 #53C42 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Primary: 53A05 #Secondary: 35B38
paper · doi:10.48550/arxiv.2505.12841
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.