@inproceedings{f71195e209bc4d0f8d9028bf400ce463,
title = "Inverse scattering problem on the half line and positon solutions of the KdV equation",
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",
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",
author = "Pavel Kurasov",
year = "1996",
language = "English",
volume = "37",
number = "3-4",
pages = "503--507",
booktitle = "Journal of Technical Physics",
note = "International Conference on Nonlinear Dynamics, Chaotic and Complex Systems ; Conference date: 07-11-1995 Through 11-11-1995",
}