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nlin.SI2006★ 1 cited
Hypergeometric solutions to ultradiscrete Painleve equations
Chris M. Ormerod
We propose new solutions to ultradiscrete Painlevé equations that cannot be derived using the ultradiscretization method. In particular, we show the third ultradiscrete Painelevé e…
nlin.SI2006
An ultradiscrete matrix version of the fourth Painleve equation
Chris M. Field, Chris M. Ormerod
We establish a matrix generalization of the ultradiscrete fourth Painlevé equation (ud-PIV). Well-defined multicomponent systems that permit ultradiscretization are obtained using…