Symmetries and related loop algebra and Virasoro algebra for self-dual Yang-Mills equation. (English) Zbl 0728.35127
Summary: The self-dual Yang-Mills equation is considered, and by using the corresponding linear system and the infinitesimal version of the ‘dressing method’ infinite numbers of symmetries of the self-dual Yang- Mills equation are obtained. The set of these symmetries forms two subsets, which constitute a loop algebra and Virasoro algebra, respectively.
MSC:
| 35Q58 | Other completely integrable PDE (MSC2000) |
| 17B68 | Virasoro and related algebras |
| 81R10 | Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations |
