Lax forms of the $q$-Painlevé equations

Abstract

All $q$-Painlevé equations which are obtained from the $q$-analog of the sixth Painlevé equation are expressed in a Lax formalism. They are characterized by the data of the associated linear $q$-difference equations. The degeneration pattern from the $q$-Painlevé equation of type $A_2$ is also presented.

24 pages

References in corpus (1)

• A $q$-anaolg of the sixth Painlevé equation

Cited by in corpus (19)

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