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

(1996) International Conference on Nonlinear Dynamics, Chaotic and Complex Systems 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

Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/758145

- author
- Kurasov, Pavel
^{LU} - organization
- publishing date
- 1996
- 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
- host publication
- Journal of Technical Physics
- volume
- 37
- issue
- 3-4
- pages
- 4 pages
- conference name
- International Conference on Nonlinear Dynamics, Chaotic and Complex Systems
- conference location
- Zakopane, Poland
- conference dates
- 1995-11-07 - 1995-11-11
- ISSN
- 0324-8313
- language
- English
- LU publication?
- yes
- id
- f71195e2-09bc-4d0f-8d90-28bf400ce463 (old id 758145)
- date added to LUP
- 2016-04-04 09:45:25
- date last changed
- 2018-11-21 20:55:25

@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}}, 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}}, 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}}, }