1204.3780 (L. V. Bogdanov)

Dunajski-Tod equation and reductions of the generalized dispersionless
2DTL hierarchy    [PDF]

L. V. Bogdanov

We transfer the scheme for constructing differential reductions recently developed for the Manakov-Santini hierarchy to the case of the two-component generalization of dispersionless 2DTL hierarchy. We demonstrate that the equation arising as a result of the simplest reduction is equivalent (up to a Legendre type transformation) to the Dunajski-Tod equation, locally describing general ASD vacuum metric with conformal symmetry. We consider higher reductions and corresponding reduced hierarchies also.

View original: http://arxiv.org/abs/1204.3780