BILINEAR DISCRETE PAINLEVE EQUATIONS

被引:43
作者
RAMANI, A
GRAMMATICOS, B
SATSUMA, J
机构
[1] UNIV PARIS 07,LPN,F-75251 PARIS,FRANCE
[2] UNIV TOKYO,DEPT MATH SCI,MEGURO KU,TOKYO 153,JAPAN
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 16期
关键词
D O I
10.1088/0305-4470/28/16/021
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Based on the results of singularity confinement we derive bilinear expressions for the discrete Painleve equations. In these cases where a bilinear expression is not sufficient we obtain trilinear or higher multilinear expressions. We show that the bilinear approach provides a natural framework for the derivation of Backlund and Schlesinger transforms for the discrete Painleve equations.
引用
收藏
页码:4655 / 4665
页数:11
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