Moutard transform for generalized analytic functions

DOI10.1007/s12220-015-9657-8zbMath1358.30019arXiv1510.08764OpenAlexW3098599397MaRDI QIDQ345302

Petr G. Grinevich, Roman G. Novikov

Publication date: 1 December 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.08764

zbMATH Keywords

generalized analytic functionsMoutard transform

Mathematics Subject Classification ID

Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) First-order elliptic systems (35J46)

Related Items (8)

Moutard transform approach to generalized analytic functions with contour poles ⋮ Singular solitons and spectral meromorphy ⋮ Some properties of the solutions space of irregular elliptic systems ⋮ Creation and annihilation of point-potentials using Moutard-type transform in spectral variable ⋮ Computational inverse problems for partial differential equations. Abstracts from the workshop held December 6--12, 2020 (hybrid meeting) ⋮ Darboux-Moutard transformations and Poincaré-Steklov operators ⋮ The moutard transformation for the Davey-Stewartson II equation and its geometrical meaning ⋮ Moutard transforms for the conductivity equation

Cites Work

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• The Moutard transformation of two-dimensional Dirac operators and Möbius geometry
• Blowing up solutions of the modified Novikov-Veselov equation and minimal surfaces
• Superposition principles associated with the Moutard transformation: an integrable discretization of a (2+1)–dimensional sine–Gordon system
• Integrable lattices and their sublattices: From the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme

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