On the limits of discrete Painlevé equations associated with the affine Weyl group E8

On the limits of discrete Painlevé equations associated with the affine Weyl group E8

We study the discrete Painlevé equations that can be obtained as limits from the equations associated with the affine Weyl group E8(1). We obtain equations associated with the groups E7(1) and E6(1) as well as linearisable systems. In the E7(1) and E6(1) cases, we obtain several new discrete Painlev...

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Veröffentlicht in:Journal of mathematical physics 2017-03, Vol.58 (3)
Hauptverfasser: Tamizhmani, K M, Tamizhmani, T, Ramani, A, Grammaticos, B
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Tamizhmani, T
Ramani, A
Grammaticos, B
description We study the discrete Painlevé equations that can be obtained as limits from the equations associated with the affine Weyl group E8(1). We obtain equations associated with the groups E7(1) and E6(1) as well as linearisable systems. In the E7(1) and E6(1) cases, we obtain several new discrete Painlevé 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.
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title On the limits of discrete Painlevé equations associated with the affine Weyl group E8
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