Six-dimensional Painleve systems and their particular solutions in terms of hypergeometric functions
Classical Analysis and ODEs
2014-06-17 v4 Mathematical Physics
math.MP
Abstract
In this article, we propose a class of six-dimensional Painleve systems given as the monodromy preserving deformations of the Fuchsian systems. They are expressed as polynomial Hamiltonian systems of sixth order. We also discuss their particular solutions in terms of the hypergeometric functions defined by fourth order rigid systems.
Keywords
Cite
@article{arxiv.1212.5871,
title = {Six-dimensional Painleve systems and their particular solutions in terms of hypergeometric functions},
author = {Takao Suzuki},
journal= {arXiv preprint arXiv:1212.5871},
year = {2014}
}
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29 pages