A Class of Special Solutions for the Ultradiscrete Painlevé II Equation
[摘要] A class of special solutions are constructed in an intuitive way for the ultradiscrete analog of q -Painlevé II ( q -PII) equation. The solutions are classified into four groups depending on the function-type and the system parameter.
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[关键词] ultradiscretization;Painlev´e equation;Airy equation;q-dif ference equation [时效性]