On a q-difference Painlevé III equation: I. Derivation, symmetry and Riccati type solutions

Details On a q-difference Painlevé III equation: I. Derivation, symmetry and Riccati type solutions On a q-difference Painlevé III equation: I. Derivation, symmetry and Riccati type solutions

2002-05-10

arxiv.org/abs/nlin/0205019v2

J. Nonlinear Math. Phys., volume 10, no. 1 (2003) 86-102

Nonlinear Sciences

Exactly Solvable and Integrable Systems

arxiv version is already official

Scientific paper

A q-difference analogue of the Painlev\'e III equation is considered. Its
derivations, affine Weyl group symmetry, and two kinds of special function type
solutions are discussed.

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