title: |
Non-isospectral lattice hierarchies in 2 + 1 dimensions and generalized discrete Painlevé hierarchies |
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publication: |
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| volume-issue: | 12 - Supplement 2 | |
| pages: | 180 - 196 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2005.12.s2.13 (how to use a DOI) | |
author(s): |
P R GORDOA, A PICKERING, Z N ZHU |
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publication date: |
December 2005 |
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abstract: |
In a recent paper we introduced a new 2 + 1-dimensional non-isospectral extension
of the Volterra lattice hierarchy, along with its corresponding hierarchy of underlying
linear problems. Here we consider reductions of this lattice hierarchy to hierarchies of
discrete equations, which we obtain once again along with their hierarchy of underling linear problems. We obtain a generalized discrete first Painlevé hierarchy which
includes as special cases, after further summation, both the standard discrete first
Painlevé hierarchy and a new extended version of the discrete thirty-fourth Painlevé
hierarchy. |
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copyright: |
©
Atlantis Press. This is an open-access article distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |