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On the limits of discrete Painleve equations associated with the affine Weyl group E8Published in
2017
DOI: 10.1063/1.4978330
Volume: 58
Issue: 3
We study the discrete Painleve equations that can be obtained as limits from the equations associated with the affine Weyl group E(1)8 . We obtain equations associated with the groups E(1)7 and E(1)6 as well as linearisable systems. In the E(1)7 and E(1)6 cases, we obtain several new discrete Painleve equations along with equations which can be related to the ones already known. The same is true for linearisable systems. In the case of new linearisable mappings, we present their explicit linearisation. Published by AIP Publishing.
Topics: Simultaneous equations (60)%60% related to the paper, Weyl group (57)%57% related to the paper, Differential equation (53)%53% related to the paper, Lie algebra (53)%53% related to the paper and Affine transformation (53)%53% related to the paper
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Content may be subject to copyright.This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publ... ...This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in [On the limits of discrete Painlevé equations associated with the affine Weyl groupE8. Journal of Mathematical Physics 58, 3 p033506 (2017)] and may be found at https://doi.org/10.1063/1.4978330.
About the journal
| Journal | Journal of Mathematical Physics |
|---|---|
| ISSN | 00222488 |
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