ISOMONODROMIC DEFORMATION PROBLEMS FOR DISCRETE ANALOGS OF PAINLEVE EQUATIONS

被引:73
作者
PAPAGEORGIOU, VG
NIJHOFF, FW
GRAMMATICOS, B
RAMANI, A
机构
[1] CLARKSON UNIV,INST NONLINEAR STUDIES,POTSDAM,NY 13676
[2] UNIV PARIS 07,PHYS NUCL LAB,F-75251 PARIS 05,FRANCE
[3] ECOLE POLYTECH,CTR PHYS THEOR,F-91128 PALAISEAU,FRANCE
关键词
D O I
10.1016/0375-9601(92)90905-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Starting from isospectral problems of two-dimensional integrable mappings, isomonodromic deformation problems for the new discrete versions of the Painleve I-III equations are constructed. It is argued that they lead to differential and q-difference deformations ("quantizations") of the corresponding spectral curves.
引用
收藏
页码:57 / 64
页数:8
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