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

Gilson, C.R. and Nimmo, J.J.C. (2007) On a direct approach to quasideterminant solutions of a noncommutative KP equation. Journal of Physics A: Mathematical and Theoretical, 40(14), pp. 3839-3850. (doi: 10.1088/1751-8113/40/14/007)

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Publisher's URL: http://dx.doi.org/10.1088/1751-8113/40/14/007

Abstract

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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Gilson, Dr Claire and Nimmo, Dr Jonathan
Authors: Gilson, C.R., and Nimmo, J.J.C.
Subjects:Q Science > QC Physics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Physics A: Mathematical and Theoretical
ISSN:1751-8113
ISSN (Online):1751-8121
Published Online:20 March 2007

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