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arXiv · 1408.6341

Blowing up solutions of the modified Novikov-Veselov equation and minimal surfaces

Iskander A. Taimanov
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Abstract

A construction of blowing up solutions to the modified Novikov-Veselov equation is proposed. It is based on the Moutard transformation of two-dimensional Dirac operators and its geometrical interpretation via surface geometry. An explicit example of such a solution constructed by using the Enneper minimal surface is discussed in detail. This example was briefly announced in arXiv:1408.4723.

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Iskander A. Taimanov. 2014-08-27. Blowing up solutions of the modified Novikov-Veselov equation and minimal surfaces. https://arxiv.org/abs/1408.6341

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