Nimmo, J.J.C. (2006) On a non-Abelian Hirota–Miwa equation. Journal of Physics A: Mathematical and General, 39(18), pp. 5053-5065.
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Publisher's URL: http://dx.doi.org/10.1088/0305-4470/39/18/019
Abstract
A generalization of the Hirota–Miwa equation to an abstract non-Abelian associative algebra is considered. This system is integrable in the sense that it arises as compatibility condition for a linear system and has solutions constructed by means of the application of an arbitrary number of Darboux transformations. These solutions are in general expressed in terms of quasideterminants.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Nimmo, Dr Jonathan |
| Authors: | Nimmo, J.J.C. |
| Subjects: | Q Science > Q Science (General) |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Physics A: Mathematical and General |
| Publisher: | Institute of Physics Publishing Ltd. |
| ISSN: | 0305-4470 |
| ISSN (Online): | 1873-3875 |
| Published Online: | 19 April 2006 |
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