Scattering theory for delta-type potentials
Abstract
In the example of the Korteweg-de Vries equation, we consider the problem of extending the applicability of the inverse spectral transform method using delta-type potentials and their Darboux transformations. In this case, the problem of the properties of scattering data reduces to studying explicitly given entire functions of the spectral parameter.
- Publication:
-
Theoretical and Mathematical Physics
- Pub Date:
- April 2015
- DOI:
- 10.1007/s11232-015-0280-4
- Bibcode:
- 2015TMP...183..540S
- Keywords:
-
- inverse spectral problem;
- additional spectrum;
- Korteweg-de Vries equation;
- second Painlevé equation