Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A_6^{(1)}

Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A_6^{(1)}

An ultradiscrete system corresponding to the q-Painlevé equation of type A_6^{(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.

Bibliographic Details
Main Author: Mikio Murata
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-06-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Painlevé equations
ultradiscrete systems
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.059
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spelling doaj-2bfcfff4f639450494a605f0fe561c3d2020-11-24T23:16:26ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592011-06-017059Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A_6^{(1)}Mikio MurataAn ultradiscrete system corresponding to the q-Painlevé equation of type A_6^{(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. http://dx.doi.org/10.3842/SIGMA.2011.059Painlevé equationsultradiscrete systems
collection DOAJ
language English
format Article
sources DOAJ
author Mikio Murata
spellingShingle Mikio Murata
Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A_6^{(1)}
Symmetry, Integrability and Geometry: Methods and Applications
Painlevé equations
ultradiscrete systems
author_facet Mikio Murata
author_sort Mikio Murata
title Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A_6^{(1)}
title_short Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A_6^{(1)}
title_full Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A_6^{(1)}
title_fullStr Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A_6^{(1)}
title_full_unstemmed Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type A_6^{(1)}
title_sort exact solutions with two parameters for an ultradiscrete painlevé equation of type a_6^{(1)}
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2011-06-01
description An ultradiscrete system corresponding to the q-Painlevé equation of type A_6^{(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.
topic Painlevé equations
ultradiscrete systems
url http://dx.doi.org/10.3842/SIGMA.2011.059
work_keys_str_mv AT mikiomurata exactsolutionswithtwoparametersforanultradiscretepainleveequationoftypea61
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