Bihamiltonian structure of the (n,1)-type rational reductions of the 2D-Toda hierarchy
classification
🌊 nlin.SI
math-phmath.DGmath.MP
keywords
hierarchybihamiltoniand-todarationalstructuretypecomputationsconstruct
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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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