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

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.

preprint2021arXivOpen access
Iskander A. Taimanov
math.DGnlin.SI
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Iskander A. Taimanov

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