Gilson, C.R., Hamanaka, M. and Nimmo, J.J.C. (2009) Bäcklund transformations for noncommutative anti-self-dual Yang-Mills equations. Glasgow Mathematical Journal, 51(A), pp. 83-93. (doi: 10.1017/S0017089508004801)
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Publisher's URL: http://dx.doi.org/10.1017/S0017089508004801
Abstract
We present Bäcklund transformations for the non-commutative anti-self-dual Yang–Mills equations where the gauge group is G = GL(2) and use it to generate a series of exact solutions from a simple seed solution. The solutions generated by this approach are represented in terms of quasi-determinants and belong to a non-commutative version of the Atiyah–Ward ansatz. In the commutative limit, our results coincide with those by Corrigan, Fairlie, Yates and Goddard.
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., Hamanaka, M., and Nimmo, J.J.C. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Glasgow Mathematical Journal |
Journal Abbr.: | Glasg. math. j. |
Publisher: | Cambridge University Press |
ISSN: | 0017-0895 |
ISSN (Online): | 1469-509X |
Published Online: | 17 February 2009 |
Copyright Holders: | Copyright © 2009 Cambridge University Press |
First Published: | First published in Glasgow Mathematical Journal 51(A):83-93 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher. |
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