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We study the discrete Painleve 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)… Click to show full abstract
We study the discrete Painleve 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 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.
Keywords:
weyl group;
associated affine;
equations associated;
affine weyl
Journal Title: Journal of Mathematical Physics
Year Published: 2017
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Journal Title: Journal of Mathematical Physics
Year Published: 2017
Link to full text (if available)
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recommendations!