Third version of the dressing method
Abstract
The two previous versions of the dressing method in soliton theory were elaborated in collaboration with V. E. Zakharov. In our works published in the 1970s, we did not consider discrete equations on a lattice Painlevétype equations, and finiteband potentials, and I now make up for this gap. Although the suggested elementary discretization scheme for the linear spectral problem is rather general, the presentation of the material is mainly confined to the framework of the ZakharovShabat spectral problem.
 Publication:

Theoretical and Mathematical Physics
 Pub Date:
 October 1999
 DOI:
 10.1007/BF02557235
 Bibcode:
 1999TMP...121.1397S
 Keywords:

 Riccati Equation;
 Spectral Problem;
 Volterra Model;
 Toda Chain;
 Periodic Closure