BILINEAR DISCRETE PAINLEVE-II AND ITS PARTICULAR SOLUTIONS

被引：14
|
作者：
SATSUMA, J
KAJIWARA, K
GRAMMATICOS, B
HIETARINTA, J
RAMANI, A
机构：
[1] DOSHISHA UNIV,DEPT ELECT ENGN,KYOTO 61003,JAPAN
[2] UNIV PARIS 07,LPN,F-75251 PARIS,FRANCE
[3] UNIV TURKU,DEPT PHYS,SF-20500 TURKU,FINLAND
[4] ECOLE POLYTECH,CTR PHYS THEOR,CNRS,UPR 14,F-91128 PALAISEAU,FRANCE
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 12期
关键词：
D O I：
10.1088/0305-4470/28/12/025
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By analogy to the continuous Painleve-II equation, we present particular solutions of the discrete Painleve II (d-P-II) equation. These solutions are of a rational and special function (Airy) type. Our analysis is based on the bilinear formalism that allows us to obtain the tau-function for d-P-II. Two different forms of bilinear d-P-II are obtained and we show that they can be related by a simple gauge transformation.
引用
收藏
页码：3541 / 3548
页数：8
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