English

Separation of variables for a lattice integrable system and the inverse problem

Exactly Solvable and Integrable Systems 2009-11-11 v1

Abstract

We investigate the relation between the local variables of a discrete integrable lattice system and the corresponding separation variables, derived from the associated spectral curve. In particular, we have shown how the inverse transformation from the separation variables to the discrete lattice variables may be factorised as a sequence of canonical transformations, following the procedure outlined by Kuznetsov.

Keywords

Cite

@article{arxiv.nlin/0502038,
  title  = {Separation of variables for a lattice integrable system and the inverse problem},
  author = {Supriya Mukherjee and A. Ghose Chowdhury and A. Roy Chowdhury},
  journal= {arXiv preprint arXiv:nlin/0502038},
  year   = {2009}
}

Comments

14 pages. submitted for publication