Reduction of the self-dual Yang-Mills equations by Bessel and Legendre functions

被引：0

作者：

Sasa, N ^{[1
]}

机构：

[1] Japan Atom Energy Res Inst, Ctr Promot Computat Sci & Engn, Tokai, Ibaraki 31911, Japan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 41期

关键词：

D O I：

10.1088/0305-4470/32/41/310

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two integrable nonlinear equations are derived by dimensional reductions of the SU(2) self-dual Yang-Mills equations. To derive the equations, we use Hirota's method and some properties of special functions, namely those of the Bessel and Legendre functions. Solutions of these equations are represented in terms of Toeplitz determinants whose elements are a superposition of the special functions.

引用

页码：7163 / 7173

页数：11

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