Finite-dimensional reductions of the discrete Toda chain
Exactly Solvable and Integrable Systems
2009-11-10 v1
Abstract
The problem of construction of integrable boundary conditions for the discrete Toda chain is considered. The restricted chains for properly chosen closure conditions are reduced to the well known discrete Painlev\'e equations , , . Lax representations for these discrete Painlev\'e equations are found.
Keywords
Cite
@article{arxiv.nlin/0403015,
title = {Finite-dimensional reductions of the discrete Toda chain},
author = {T. G. Kazakova},
journal= {arXiv preprint arXiv:nlin/0403015},
year = {2009}
}
Comments
Submitted to Jornal of Physics A: Math. Gen., 14 pages