On a direct approach to quasideterminant solutions of a noncommutative KP equation

被引：76

作者：

Gilson, C. R. ^{[1
]}

Nimmo, J. J. C. ^{[1
]}

机构：

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

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2007年 / 40卷 / 14期

关键词：

D O I：

10.1088/1751-8113/40/14/007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A noncommutative version of the KP equation and two families of its solutions expressed as quasideterminants are discussed. The origin of these solutions is explained by means of Darboux and binary Darboux transformations. Additionally, it is shown that these solutions may also be verified directly. This approach is reminiscent of the wronskian technique used for the Hirota bilinear form of the regular, commutative KP equation but, in the noncommutative case, no bilinearizing transformation is available.

引用

页码：3839 / 3850

页数：12

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