A nonisospectral extension of the Volterra hierarchy to 2+1 dimensions
A nonisospectral extension of the Volterra hierarchy to 2+1 dimensions
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DOI：
10.1063/1.2041347
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发表时间：
2005-10
影响因子：
1.3
通讯作者：
P. R. Gordoa;A. Pickering;Zuo-nong Zhu
中科院分区：
文献类型：
--
作者：
P. R. Gordoa;A. Pickering;Zuo-nong Zhu
We give a new nonisospectral generalization of the Volterra lattice equation to 2+1 dimensions. We use this to construct a new nonisospectral lattice hierarchy in 2+1 dimensions, along with its underlying linear problem. Reductions yield a variety of new integrable hierarchies, including generalizations of known discrete Painleve hierarchies, all along with their corresponding linear problems. This represents an extension of previously developed techniques to the discrete case.
