A Class of Special Solutions for the Ultradiscrete Painlevé II Equation

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

10.3842/SIGMA.2011.074

A class of special solutions are constructed in an intuitive way for the
ultradiscrete analog of $q$-Painlev\'e II ($q$-PII) equation. The solutions are
classified into four groups depending on the function-type and the system
parameter.

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