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.
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2011-06-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2011.059 |
| Summary: | 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. |
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| ISSN: | 1815-0659 |