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On two-parameter solutions of simultaneous ultradiscrete Painleve II equation with parity variables

We introduce a simultaneous ultradiscrete Painleve II equation with parity variables, which is shown to be more suitable for studying two-parameter solutions than the single second-order ultradiscrete Painleve II equation with parity variables. We investigate several types of two-parameter solutions and the solutions which are related with the ultradiscrete limit of determinant type solutions of q-Painleve II equation.

preprint2018arXivOpen access
Hikaru IgarashiKouichi Takemura
math-phmath.MPmath.CA
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Hikaru IgarashiKouichi Takemura

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