Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2011-06-17
SIGMA 7 (2011), 059
Nonlinear Sciences
Exactly Solvable and Integrable Systems
Scientific paper
10.3842/SIGMA.2011.059
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.
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