Dirac type system on the axis: explicit formulae for matrix potentials with singularities and soliton–positon interactions

DOI10.1088/0266-5611/19/4/304zbMath1054.34138OpenAlexW2023844835MaRDI QIDQ4466401

Publication date: 10 June 2004

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/19/4/304

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse problems involving ordinary differential equations (34A55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (10)

Completion problems and scattering problems for Dirac type differential equations with singularities ⋮ Scattering for general-type Dirac systems on the semi-axis: reflection coefficients and Weyl functions ⋮ Hamiltonian systems and Sturm-Liouville equations: Darboux transformation and applications ⋮ Inverse spectral problems for Dirac operators with summable matrix-valued potentials ⋮ Inverse spectral problems for Dirac operators on a finite interval ⋮ Dynamics of electrons and explicit solutions of Dirac–Weyl systems ⋮ Inverse nonstationary scattering for the linear system of the 3-wave interaction problem in the case of two incident waves with the same velocity ⋮ Inverse scattering transform in two spatial dimensions for the \(N\)-wave interaction problem with a dispersive term ⋮ Dynamical canonical systems and their explicit solutions ⋮ Inverse scattering problem for nonstationary Dirac-type systems on the plane

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