Bihamiltonian structure of the (n,1)-type rational reductions of the 2D-Toda hierarchy
Abstract
We derive a local bihamiltonian structure for the rational reduction of the 2D-Toda hierarchy (RR2T) of (n,1)-type by direct computations, and construct an (n+1)-dimensional semisimple generalized Frobenius manifold with non-flat unity whose Principal Hierarchy contains its dispersionless flows.
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