Marta POCHYNAYKO and Yuriy SYDORENKO
Institute of Applied Mathematics,
National University "Lviv Polytechnic",
12 Bandery Str.,
79013, Lviv,
UKRAINE
   and
Ivan Franko Lviv National University,
1 Universytetska Str.,
79000 Lviv,
UKRAINE
E-mail: y_sydorenko@franko.lviv.ua, matmod@franko.lviv.ua

Finite-dimensional scattering operators for integrable systems

Abstract:
It is shown that the binary Darboux transformations for Dirac's operator generate transformations operators and scattering operators obtained by L.P. Nizhnik by considering inverse scattering problem of Dirac's systems.