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

来源：

PHYSICS LETTERS A | 1992年 / 164卷 / 01期

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

页码：57 / 64

页数：8

共 38 条

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