Exact Solutions with Two Parameters for an Ultradiscrete Painlev\'e   Equation of Type $A_6^{(1)}$
  An ultradiscrete system corresponding to the $q$-Painlev\'e equation of type $A_6^{(1)}$, which is a $q$-difference analogue of the second Painlev\'e equation, is proposed. Exact solutions with two parameters are constructed for the ultradiscrete system. 
Mikio Murata
nlin.SI math.CA