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arXiv · 2111.07251

The Moutard transformation for the Davey-Stewartson II equation and its geometrical meaning

Iskander A. Taimanov
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Abstract

The Moutard transform is constructed for the solutions of the Davey-Stewartson II equation. It is geometrically interpreted using the spinor (Weierstrass) representation of surfaces in four-dimensional Euclidean space. Using the Moutard transformation and minimal surfaces, examples of solutions are constructed that have smooth, rapidly decreasing initial data and lose their regularity in a finite time.

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Iskander A. Taimanov. 2021-11-14. The Moutard transformation for the Davey-Stewartson II equation and its geometrical meaning. https://doi.org/10.1134/s0001434621110122

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