Moutard transform approach to generalized analytic functions with contour poles
From MaRDI portal
Publication:310061
DOI10.1016/j.bulsci.2016.01.003zbMath1351.30034arXiv1512.08874OpenAlexW3100191299MaRDI QIDQ310061
Roman G. Novikov, Petr G. Grinevich
Publication date: 7 September 2016
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.08874
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)
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Cites Work
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- Generalized analytic functions, Moutard-type transforms, and holomorphic maps
- Moutard transform for generalized analytic functions
- On the Moutard transformation and its applications to spectral theory and soliton equations
- Differential equations in the spectral parameter
- Singular solutions of the KdV equation and the inverse scattering method
- Two-dimensional ``inverse scattering problem for negative energies and generalized-analytic functions. I: Energies below the ground state
- The inverse scattering problem on a fixed energy level for two- dimensional Schrödinger operator
- Inverse problem of quantum scattering theory. II
- Transparent potentials at fixed energy in dimension two. Fixed-energy dispersion relations for the fast decaying potentials
- Faddeev eigenfunctions for point potentials in two dimensions
- Singular soliton operators and indefinite metrics
- Two-dimensional von Neumann-Wigner potentials with a multiple positive eigenvalue
- The Moutard transformation of two-dimensional Dirac operators and Möbius geometry
- Blowing up solutions of the modified Novikov-Veselov equation and minimal surfaces
- Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity
- A large-time asymptotics for the solution of the Cauchy problem for the Novikov–Veselov equation at negative energy with non-singular scattering data
- A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy
- 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
- The $ \bar\partial$-equation in the multidimensional inverse scattering problem
- On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations
- Spectrally meromorphic operators and non-linear systems
- The Moutard transformation and two-dimensional multipoint delta-type potentials
- ASSOCIATED STURM-LIOUVILLE SYSTEMS
