ASYMMETRIC DISCRETE PAINLEVE EQUATIONS

被引：54
|
作者：
Kruskal, M. D. [1 ]
Tamizhmani, K. M. [2 ]
Grammaticos, B. [3 ]
Ramani, A. [4 ]
机构：
[1] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA
[2] Pondicherry Univ, Dept Math, Pondicherry 605014, India
[3] Univ Paris 07, GMPIB, F-75251 Paris, France
[4] Ecole Polytech, CNRS, UMR 7644, CPT, F-91128 Palaiseau, France
来源：
REGULAR & CHAOTIC DYNAMICS | 2000年 / 5卷 / 03期
关键词：
D O I：
10.1070/RD2000v005n03ABEH000149
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the possible integrable nonautonomous forms of a given class of mappings involving more than one dependent variable. These integrable discrete systems define "asymmetric" Painleve equations. Our main tool of investigation is the application of the singularity confinement discrete integrability criterion. A new way of implementing it, first proposed for the singularity analysis of continuous systems, is also introduced.
引用
收藏
页码：273 / 280
页数：8
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