On the Moutard transformation and its applications to spectral theory and soliton equations

DOI10.1007/s10958-010-0092-xzbMath1301.35082OpenAlexW1989359880MaRDI QIDQ459455

Sergey Petrovich Tsarev, Iskander A. Taimanov

Publication date: 13 October 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-010-0092-x

zbMATH Keywords

Schrödinger operatorspectral theorysoliton equationsMoutard transformation

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Schrödinger operator, Schrödinger equation (35J10) Soliton equations (35Q51)

Related Items (11)

Global Solutions for the zero-energy Novikov–Veselov equation by inverse scattering ⋮ Moutard transform approach to generalized analytic functions with contour poles ⋮ Moutard transform for generalized analytic functions ⋮ Singular solitons and spectral meromorphy ⋮ On a formation of singularities of solutions to soliton equations represented by \textit{L, a, B}-triples ⋮ Creation and annihilation of point-potentials using Moutard-type transform in spectral variable ⋮ Darboux-Moutard transformations and Poincaré-Steklov operators ⋮ Moutard transforms for the conductivity equation ⋮ Exactly solvable two-dimensional stationary Schrödinger operators obtained by the nonlocal Darboux transformation ⋮ Two-dimensional magnetic Schrödinger equations, Darboux transformations and solutions of associated auxiliary equations ⋮ Darboux transformations for (1+2)-dimensional Fokker-Planck equations with constant diffusion matrix

Cites Work

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• Blowing up solutions of the Novikov-Veselov equation
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