Asymmetric rational reductions of 2D-Toda hierarchy and a generalized Frobenius manifold

Haonan Qu, Qiulan Zhao

We study the local bihamiltonian structures of the asymmetric rational reductions of the 2D-Toda hierarchy (RR2T) of types $(2,1)$ and $(1,2)$ at the full-dispersive level, and con…