Volume 12, Issue Supplement 2, December 2005, Pages 180 - 196
Non-isospectral lattice hierarchies in 2 + 1 dimensions and generalized discrete Painlevé hierarchies
P R GORDOA, A PICKERING, Z N ZHU
P R GORDOA
Available Online 1 December 2005.
- https://doi.org/10.2991/jnmp.2005.12.s2.13How to use a DOI?
- 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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Cite this article
TY - JOUR AU - P R GORDOA AU - A PICKERING AU - Z N ZHU PY - 2005 DA - 2005/12 TI - Non-isospectral lattice hierarchies in 2 + 1 dimensions and generalized discrete Painlevé hierarchies JO - Journal of Nonlinear Mathematical Physics SP - 180 EP - 196 VL - 12 IS - Supplement 2 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2005.12.s2.13 DO - https://doi.org/10.2991/jnmp.2005.12.s2.13 ID - GORDOA2005 ER -