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 |
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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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