离散的Painlevé 方程Ⅱ的有理解

数学季刊 ›› 1999, Vol. 14 ›› Issue (3): 24-29.

离散的Painlevé 方程Ⅱ的有理解

Department of Mathematics，Zhoukou Teacherˋ s College，Henan，466000; Department of Mathematics，North Transportation University，Beijing，100044

收稿日期:1998-05-20 出版日期:1999-09-30 发布日期:2024-09-11

Rational Solutions for the Discrete Painlevé Ⅱ Equation

Department of Mathematics，Zhoukou Teacherˋ s College，Henan，466000; Department of Mathematics，North Transportation University，Beijing，100044

Received:1998-05-20 Online:1999-09-30 Published:2024-09-11

摘要/Abstract

摘要： The rational solutions for the discrete Painlevé Ⅱ equation are constructed based on the bilinear formalism．It is shown that they are expressed by a determinant whose entries are given by the Laguerre Polynomials．

关键词: Painlevé equation, discrete Painlevé equation, rational solution

Abstract: The rational solutions for the discrete Painlevé Ⅱ equation are constructed based on the bilinear formalism．It is shown that they are expressed by a determinant whose entries are given by the Laguerre Polynomials．

Key words: Painlevé equation, discrete Painlevé equation, rational solution

中图分类号:

O174

赵玲玲, 商朋见. 离散的Painlevé 方程Ⅱ的有理解[J]. 数学季刊, 1999, 14(3): 24-29.

Zhao Lingling, Shang Pengjian. Rational Solutions for the Discrete Painlevé Ⅱ Equation[J]. Chinese Quarterly Journal of Mathematics, 1999, 14(3): 24-29.