Direct Connection between the R_{II} Chain and the Nonautonomous Discrete Modified KdV Lattice
Exactly Solvable and Integrable Systems
2013-11-27 v2 Mathematical Physics
math.MP
Abstract
The spectral transformation technique for symmetric R_{II} polynomials is developed. Use of this technique reveals that the nonautonomous discrete modified KdV (nd-mKdV) lattice is directly connected with the R_{II} chain. Hankel determinant solutions to the semi-infinite nd-mKdV lattice are also presented.
Keywords
Cite
@article{arxiv.1309.4949,
title = {Direct Connection between the R_{II} Chain and the Nonautonomous Discrete Modified KdV Lattice},
author = {Kazuki Maeda and Satoshi Tsujimoto},
journal= {arXiv preprint arXiv:1309.4949},
year = {2013}
}