Strachan, I.A.B. (1995) The symmetry structure of the anti-self-dual Einstein hierarchy. Journal of Mathematical Physics, 36(7), pp. 3566-3573. (doi: 10.1063/1.530982)
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Abstract
An important example of a multi‐dimensional integrable system is the anti‐self‐dual Einstein equations. By studying the symmetries of these equations, a recursion operator is found and the associated hierarchy constructed. Owing to the properties of the recursion operator one may construct a hierarchy of symmetries and find the algebra generated by them. In addition, the Lax pair for this hierarchy is constructed.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Strachan, Professor Ian |
| Authors: | Strachan, I.A.B. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Mathematical Physics |
| Publisher: | AIP Publishing |
| ISSN: | 0022-2488 |
| ISSN (Online): | 1089-7658 |
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