The Moutard transformation of two-dimensional Dirac operators and Möbius geometry

DOI10.1134/S0001434615010149zbMath1345.53046arXiv1408.4464OpenAlexW2003429912MaRDI QIDQ2353721

Iskander A. Taimanov

Publication date: 16 July 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4464

zbMATH Keywords

Dirac operatorMoutard transformationWeierstraß representation

Mathematics Subject Classification ID

Related Items (12)

Moutard transform approach to generalized analytic functions with contour poles ⋮ Moutard transform for generalized analytic functions ⋮ Singular solitons and spectral meromorphy ⋮ Surfaces via spinors and soliton equations ⋮ Creation and annihilation of point-potentials using Moutard-type transform in spectral variable ⋮ Exact solution of modified Veselov-Novikov equation and some applications in the game theory ⋮ The Moutard transformation of two-dimensional Dirac operators and the conformal geometry of surfaces in four-dimensional space ⋮ Darboux-Moutard transformations and Poincaré-Steklov operators ⋮ Blowing up solutions of the modified Novikov-Veselov equation and minimal surfaces ⋮ The moutard transformation for the Davey-Stewartson II equation and its geometrical meaning ⋮ Moutard transforms for the conductivity equation ⋮ A fast decaying solution to the modified Novikov-Veselov equation with a one-point singularity

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• Soliton spheres
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• Infinitesimal Darboux Transformations of the Spectral Curves of Tori in the Four-Space
• Two-dimensional Dirac operator and the theory of surfaces

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