Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A₆⁽¹⁾

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2011
• 1. Verfasser: Murata, M.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2011
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/147181
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A₆⁽¹⁾ / M. Murata // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 31 назв. — англ.

An ultradiscrete system corresponding to the q-Painlevé equation of type A₆⁽¹⁾, which is a q-difference analogue of the second Painlevé equation, is proposed. Exact solutions with two parameters are constructed for the ultradiscrete system.