Energy dependent scattering theory

zbMath0831.35152MaRDI QIDQ1891550

David H. Sattinger, Jacek Szmigielski

Publication date: 15 February 1996

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

breather solutioninverse scatteringscattering dataenergy dependent potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (12)

INVERSE SCATTERING PROBLEM FOR THE ·IMPULSIVE SCHRÖDINGER EQUATION WITH A POLYNOMIAL SPECTRAL DEPENDENCE IN THE POTENTIAL ⋮ Inverse scattering on the half-line for ZS-AKNS systems with integrable potentials ⋮ Energy-dependent reflectionless inverse scattering ⋮ Reconstruction of energy-dependent Sturm-Liouville equations from two spectra ⋮ Reconstruction of energy-dependent Sturm-Liouville equations from two spectra. II ⋮ Inverse scattering in one-dimensional nonconservative media ⋮ Integration of the Kaup-Boussinesq system with time-dependent coefficients ⋮ Inverse Resonance Problems for Energy-Dependent Potentials on the Half-Line ⋮ Inverse scattering on the half-line for energy-dependent Schrödinger equations ⋮ Asymptotic Behavior of Solutions of a System of KdV Type Associated with the Schrödinger Operator with an Energy-Dependent Potential ⋮ An inversion formula in energy dependent scattering ⋮ Unnamed Item

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