A new Lax pair for the sixth Painlev\'e equation associated with $\hat{\mathfrak{so}}(8)$
Mathematical Physics
2007-05-23 v1 math.MP
Representation Theory
Abstract
A new Lax pair for the sixth Painlev\'e equation is constructed in the framework of the loop algebra . The whole affine Weyl group symmetry of is interpreted as gauge transformations of the corresponding linear problem.
Cite
@article{arxiv.math-ph/0203029,
title = {A new Lax pair for the sixth Painlev\'e equation associated with $\hat{\mathfrak{so}}(8)$},
author = {Masatoshi Noumi and Yasuhiko Yamada},
journal= {arXiv preprint arXiv:math-ph/0203029},
year = {2007}
}
Comments
13 pages