Exact Solutions with Two Parameters for an Ultradiscrete Painlev\'e Equation of Type $A_6^{(1)}$
Exactly Solvable and Integrable Systems
2011-06-21 v2 Classical Analysis and ODEs
Abstract
An ultradiscrete system corresponding to the -Painlev\'e equation of type , which is a -difference analogue of the second Painlev\'e equation, is proposed. Exact solutions with two parameters are constructed for the ultradiscrete system.
Keywords
Cite
@article{arxiv.1106.3384,
title = {Exact Solutions with Two Parameters for an Ultradiscrete Painlev\'e Equation of Type $A_6^{(1)}$},
author = {Mikio Murata},
journal= {arXiv preprint arXiv:1106.3384},
year = {2011}
}