DISCRETE PAINLEVE EQUATIONS: DERIVATION AND PROPERTIES

DISCRETE PAINLEVE EQUATIONS: DERIVATION AND PROPERTIES
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离散 PAINLEVE 方程:推导和性质

DOI:
10.1007/978-94-011-2082-1_30
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发表时间:
1993
期刊:
--
影响因子:
--
通讯作者:
A. Ramani
A. Ramani
中科院分区:
--
文献类型:
--
作者:
B. Grammaticos;A. Ramani

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我们提出了一个审查的各种方法,可用于离散Painlevé方程的推导。特别强调的是奇异性限制方法,发挥作用的“Painlevé”奇异性分析离散系统。离散的Painlevé方程的各种属性也提出了,这允许一个密切的平行之间的连续和离散的情况下建立。
We present a review of the various methods that can be used for the derivation of discrete Painlevé equations. Particular emphasis is put on the singularity confinement method that plays the role of the “Painlevé” singularity analysis for discrete systems. The various properties of the discrete Painlevé equations are also presented and this allows a close parallel between the continuous and the discrete case to be established.
DOI: 10.1016/0375-9601(91)90955-8
发表时间: 1991-03
期刊: Physics Letters A
影响因子: 2.6
作者:
F. Nijhoff;V. Papageorgiou
通讯作者: F. Nijhoff;V. Papageorgiou