The Ozawa Solution to the Davey – Stewartson II Equations and Surface Theory

    2025, Volume 30, Number 4, pp.  612-617

    Author(s): Huang Y. C., Taimanov I. A.

    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 a certain moment and we describe explicitly the corresponding singularity of the deformed surface.
    Keywords: spinor representation of surfaces, surface deformation, Davey – Stewartson II equation, Moutard transformation, singularity formation, two-dimensional Dirac operators
    Citation: Huang Y. C., Taimanov I. A., The Ozawa Solution to the Davey – Stewartson II Equations and Surface Theory, Regular and Chaotic Dynamics, 2025, Volume 30, Number 4, pp. 612-617
    DOI: 10.1134/S1560354725040100



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