PreprintHierarchies of nonlinear qdifference equations from series of Lax pairsMike HayAbstractWe present two hierarchies of nonlinear, integrable qdifference equations, one of which includes a qdifference form of each of the second and fifth Painleve equations, qPII and qPV, the other includes qPIII. All the equations have multiple free parameters. A method to calculate a 2 X 2 Lax pair for each equation in the hierarchy is also given. This paper is available as a pdf (216kB) file.
