Journal of Nonlinear Mathematical Physics

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Volume 10, Issue 1, February 2003, Pages 86 - 102

On a q-Difference Painlevé III Equation: I. Derivation, Symmetry and Riccati Type Solutions

Authors
Kenji Kajiwara, Kinji Kimura
Corresponding Author
Kenji Kajiwara
Received 10 May 2002, Revised 25 July 2002, Accepted 31 July 2002, Available Online 1 February 2003.
DOI
10.2991/jnmp.2003.10.1.7How to use a DOI?
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.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 1
Pages
86 - 102
Publication Date
2003/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.1.7How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Kenji Kajiwara
AU  - Kinji Kimura
PY  - 2003
DA  - 2003/02/01
TI  - On a q-Difference Painlevé III Equation: I. Derivation, Symmetry and Riccati Type Solutions
JO  - Journal of Nonlinear Mathematical Physics
SP  - 86
EP  - 102
VL  - 10
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.1.7
DO  - 10.2991/jnmp.2003.10.1.7
ID  - Kajiwara2003
ER  -