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

Cited by in corpus (3)

• A unified approach to $q$-special functions of the Laplace type
• The Lattice Structure of Connection Preserving Deformations for q-Painlevé Equations I
• Symmetries in Connection Preserving Deformations