Blowing up solutions of the modified Novikov-Veselov equation and minimal surfaces
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We propose a construction of blowup solutions of the modified Novikov-Veselov equation based on the Moutard transformation of the two-dimensional Dirac operators and on its geometric interpretation in terms of surface geometry. We consider an explicit example of such a solution constructed using the minimal Enneper surface.
Keywordsblowup solution modified Novikov-Veselov equation Moutard transformation two-dimensional Dirac operator Weierstrass representation of surfaces minimal surface
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