Inverse scattering problem on the half line and positon solutions of the KdV equation

Pavel Kurasov

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

Abstract

The inverse scattering problem for the Schrodinger operator on the half-line is studied for potentials of positon type with long range oscillating tails at infinity. The inverse problem can be solved for the scattering matrices with arbitrary finite phase shift. Solution of the inverse problem is unique if the following scattering data are given: scattering matrix, energies of the bound states and the corresponding normalizing constants zeroes of the spectral density on the real line
Original languageEnglish
Title of host publicationJournal of Technical Physics
Pages503-507
Number of pages4
Volume37
Publication statusPublished - 1996
EventInternational Conference on Nonlinear Dynamics, Chaotic and Complex Systems - Zakopane, Poland
Duration: 1995 Nov 71995 Nov 11

Publication series

Name
Number3-4
Volume37
ISSN (Print)0324-8313

Conference

ConferenceInternational Conference on Nonlinear Dynamics, Chaotic and Complex Systems
Country/TerritoryPoland
CityZakopane
Period1995/11/071995/11/11

Subject classification (UKÄ)

  • Mathematics

Keywords

  • inverse problems
  • Korteweg-de Vries equation
  • S-matrix theory
  • Schrodinger equation
  • half-line
  • positon solutions
  • KdV equation
  • inverse scattering
  • Schrodinger operator
  • scattering matrices
  • scattering matrix
  • bound state
  • spectral density

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