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Li, C.X., Nimmo, J.J.C., and Tamizhmani, K.M. (2009) On solutions to the non-Abelian Hirota–Miwa equation and its continuum limits. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 465 (2105). pp. 1441-1451. ISSN 1364-5021 (doi:10.1098/rspa.2008.0438)
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Text
arxiv.html 3970b |
Abstract
In this paper, we construct Grammian-like quasideterminant solutions of a non-Abelian Hirota–Miwa equation. Through continuum limits of this non-Abelian Hirota–Miwa equation and its quasideterminant solutions, we construct a cascade of non-commutative differential-difference equations ending with the non-commutative KP equation. For each of these systems, the quasideterminant solutions are constructed as well.
| Item Type: | Article |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s): | Nimmo, Dr Jonathan |
| Authors: | Li, C.X., Nimmo, J.J.C., and Tamizhmani, K.M. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences |
| ISSN: | 1364-5021 |
| ISSN (Online): | 1471-2946 |
| Published Online: | 20 February 2009 |
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