Darboux transformation of the generalized coupled dispersionless integrable system

被引：55

作者：

Hassan, M. ^{[1
,2
]}

机构：

[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

[2] Univ Punjab, Dept Phys, Lahore 54590, Pakistan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 06期

关键词：

SOLITON-SOLUTIONS; EQUATIONS; HIERARCHIES;

D O I：

10.1088/1751-8113/42/6/065203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Darboux transformation on matrix solutions to the generalized coupled dispersionless integrable system based on a non-Abelian Lie group is studied, and the solutions are shown to be expressed in terms of quasideterminants. As an explicit example, the Darboux transformation on scalar solutions to the system based on the Lie group SU(2) is discussed in detail, and the solutions are shown to be expressed as ratios of determinants.

引用

页数：11

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