q-Painlev\'e systems arising from q-KP hierarchy
Exactly Solvable and Integrable Systems
2007-05-23 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
A system of q-Painlev\'e type equations with multi-time variables t_1,...,t_M is obtained as a similarity reduction of the N-reduced q-KP hierarchy. This system has affine Weyl group symmetry of type A^{(1)}_{M-1} \times A^{(1)}_{N-1}. Its rational solutions are constructed in terms of q-Schur functions.
Keywords
Cite
@article{arxiv.nlin/0112045,
title = {q-Painlev\'e systems arising from q-KP hierarchy},
author = {Kenji Kajiwara and Masatoshi Noumi and Yasuhiko Yamada},
journal= {arXiv preprint arXiv:nlin/0112045},
year = {2007}
}
Comments
10 pages