Determinant structure of the rational solutions for the Painleve IV equation

被引：56

作者：

Kajiwara, K ^{[1
]}

Ohta, Y

机构：

[1] Doshisha Univ, Dept Elect Engn, Kyoto 61003, Japan

[2] Hiroshima Univ, Fac Engn, Dept Appl Math, Higashihiroshima 739, Japan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 10期

关键词：

D O I：

10.1088/0305-4470/31/10/017

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Rational solutions for the Painleve IV equation are investigated by Hirota bilinear formalism. It is shown that the solutions in one hierarchy are expressed by 3-reduced Schur functions, and those in another two hierarchies by Casorati determinants of the Hermite polynomials, or by a special case of the Schur polynomials.

引用

页码：2431 / 2446

页数：16

共 21 条

[1] NEW EXACT-SOLUTIONS OF THE DISCRETE 4TH PAINLEVE EQUATION [J].