%0 Journal Article
%T Dunajski-Tod equation and reductions of the generalized dispersionless 2DTL hierarchy
%A L. V. Bogdanov
%J Physics
%D 2012
%I arXiv
%R 10.1016/j.physleta.2012.10.012
%X 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.
%U http://arxiv.org/abs/1204.3780v2