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Paper detail

Surfaces via spinors and soliton equations

This article surveys the Weierstrass representation of surfaces in the three- and four-dimensional spaces, with an emphasis on its relation to the Willmore functional. We also describe an application of this representation to constructing a new type of solutions to the Davey-Stewartson II equation. They have regular initial data, gain one-point singularities at certain moments of time, and extend to smooth solutions for the remaining times.

preprint2022arXivOpen access
Iskander A. Taimanov
math.APmath.DGnlin.SI
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Iskander A. Taimanov

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