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arxiv: 1107.4416 · v1 · pith:4YP2NE3Qnew · submitted 2011-07-22 · 🌊 nlin.SI · math.CA

A Class of Special Solutions for the Ultradiscrete Painlev\'e II Equation

classification 🌊 nlin.SI math.CA
keywords solutionsclassequationpainlevspecialultradiscreteanalogclassified
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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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