A discrete Schrodinger spectral problem and associated evolution equations
Exactly Solvable and Integrable Systems
2009-11-07 v1
Abstract
A recently proposed discrete version of the Schrodinger spectral problem is considered. The whole hierarchy of differential-difference nonlinear evolution equations associated to this spectral problem is derived. It is shown that a discrete version of the KdV, sine-Gordon and Liouville equations are included and that the so called `inverse' class in the hierarchy is local. The whole class of related Darboux and Backlund transformations is also exhibited.
Cite
@article{arxiv.nlin/0206012,
title = {A discrete Schrodinger spectral problem and associated evolution equations},
author = {M. Boiti and M. Bruschi and F. Pempinelli and B. Prinari},
journal= {arXiv preprint arXiv:nlin/0206012},
year = {2009}
}
Comments
14 pages, LaTeX2e