Scattering theory for deltatype potentials
Abstract
In the example of the Kortewegde Vries equation, we consider the problem of extending the applicability of the inverse spectral transform method using deltatype 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/s1123201502804
 Bibcode:
 2015TMP...183..540S
 Keywords:

 inverse spectral problem;
 additional spectrum;
 Kortewegde Vries equation;
 second Painlevé equation