On two-parameter solutions of simultaneous ultradiscrete Painleve II equation with parity variables
Classical Analysis and ODEs
2020-05-28 v2 Mathematical Physics
math.MP
Abstract
We introduce a simultaneous ultradiscrete Painleve II equation with parity variables, which is shown to be more suitable for studying two-parameter solutions than the single second-order ultradiscrete Painleve II equation with parity variables. We investigate several types of two-parameter solutions and the solutions which are related with the ultradiscrete limit of determinant type solutions of q-Painleve II equation.
Keywords
Cite
@article{arxiv.1611.05385,
title = {On two-parameter solutions of simultaneous ultradiscrete Painleve II equation with parity variables},
author = {Hikaru Igarashi and Kouichi Takemura},
journal= {arXiv preprint arXiv:1611.05385},
year = {2020}
}
Comments
39 pages, title changed, figures added, typos corrected