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

Kurasov, Pavel LU (1996) International Conference on Nonlinear Dynamics, Chaotic and Complex Systems In Journal of Technical Physics 37(3-4). p.503-507
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
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
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
in
Journal of Technical Physics
volume
37
issue
3-4
pages
4 pages
conference name
International Conference on Nonlinear Dynamics, Chaotic and Complex Systems
ISSN
0324-8313
language
English
LU publication?
yes
id
f71195e2-09bc-4d0f-8d90-28bf400ce463 (old id 758145)
date added to LUP
2008-09-16 15:07:33
date last changed
2016-04-16 07:10:39
@inproceedings{f71195e2-09bc-4d0f-8d90-28bf400ce463,
  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},
  author       = {Kurasov, Pavel},
  booktitle    = {Journal of Technical Physics},
  issn         = {0324-8313},
  keyword      = {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},
  language     = {eng},
  number       = {3-4},
  pages        = {503--507},
  title        = {Inverse scattering problem on the half line and positon solutions of the KdV equation},
  volume       = {37},
  year         = {1996},
}