Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy

Haonan Qu, Qiulan Zhao

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 se…