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arXiv · hep-th/9410047

The symmetry structure of the anti-self-dual Einstein hierarchy

I. A. B. Strachan
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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.

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I. A. B. Strachan. 1994-10-07. The symmetry structure of the anti-self-dual Einstein hierarchy. https://doi.org/10.1063/1.530982

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