The Symmetry structure of the antiselfdual Einstein hierarchy

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.

Einstein equation: duality
integrability
operator: Lax
symmetry: hierarchy

References(20)

Figures(0)

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