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

页码：3541 / 3548

页数：8

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