The Moutard Transformation for the Davey--Stewartson~II Equation and Its Geometrical Meaning

I. A. Taimanov

Matematičeskie zametki, Tome 110 (2021) no. 5, pp. 751-765.

Résumé

The Moutard transformation for the solutions of the Davey–Stewartson II equation is constructed. It is geometrically interpreted using the spinor (Weierstrass) representation of surfaces in four-dimensional Euclidean space. Examples of solutions that have smooth fast decaying initial data and lose regularity in finite time are constructed by using the Moutard transformation and minimal surfaces.

Détail

Keywords: Davey–Stewartson equation, surfaces in four-dimensional space.
Mots-clés : Moutard transformation

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