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nlin.SI2016★ 5 cited
Lax pairs for additive difference Painlevé equations
Hidehito Nagao
A Lax pair for the additive difference Painlevé equation of type is explicitly obtained as certain linear difference equations of scalar form. The compatibility of the…
nlin.SI2016★ 8 cited
Study of -Garnier system by Padé method
Hidehito Nagao, Yasuhiko Yamada
We give a simple form of the evolution equation and a scalar Lax pair for the -Garnier system. Some reductions to the -Painlevé equations and the autonomous case as a general…