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

Kenji Kajiwara, Kinji Kimura

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

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

Original languageEnglish
Pages (from-to)86-102
Number of pages17
JournalJournal of Nonlinear Mathematical Physics
Volume10
Issue number1
DOIs
Publication statusPublished - Jan 1 2003

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Affine Weyl Groups
Special Functions
derivation
analogs
Analogue
Symmetry
symmetry

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

On a q-difference painlevé III equation : I. Derivation, symmetry and riccati type solutions. / Kajiwara, Kenji; Kimura, Kinji.

In: Journal of Nonlinear Mathematical Physics, Vol. 10, No. 1, 01.01.2003, p. 86-102.

Research output: Contribution to journalArticle

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