The discrete Painleve I equations: transcendental integrability and asymptotic solutions

被引：8

作者：

Bernardo, M ^{[1
]}

Truong, TT

Rollet, G

机构：

[1] Univ Cergy Pontoise, Lab Phys Theor & Modelizat, F-95031 Cergy Pontoise, France

[2] Univ Paris 07, Lab Phys theor Mat Condensee, F-75251 Paris 05, France

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 15期

关键词：

D O I：

10.1088/0305-4470/34/15/303

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The integrability of the discrete Painleve I equation (dP-I) is reviewed and its integrability studied. We establish the existence of a conserved quantity which is algebraic in the case of the autonomous dP-I equation and it is argued that the non-autonomous dP-I map has a non-algebraic invariant. Our analysis leads to, among other results the construction of asymptotic solutions with interesting structures.

引用

页码：3215 / 3252

页数：38

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