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Symmetries of the self-dual Yang-Mills equations
Published online by Cambridge University Press: 17 April 2009
Abstract
It has been conjectured by R. S. Ward that the self-dual Yang-Mills Equations (SDYMEs) form a “master system” in the sense that most known integrable ordinary and partial differential equations are obtainable as reductions. We systematically construct the group of symmetries of the SDYMEs on R4 with semisimple gauge group of finite dimension and show that this yields only the well known gauge and conformal symmetries.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 49 , Issue 1 , February 1994 , pp. 151 - 158
- Copyright
- Copyright © Australian Mathematical Society 1994