Lax forms of the $q$-Painlev\'e equations

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Earlier work this paper cites.

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M. Hay, J. Hietarinta, N. Joshi and F. Nijhoff, A Lax pair for a lattice modified KdV equation, reductions to q q -Painlevé equations and associated Lax pairs, J. Phys. A: Math. Theor

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H. Sakai, Problem: discrete Painlevé equations and their Lax forms, RIMS Kôkyûroku Bessatsu

2007

Later among the works it cites.