4 papers
Bihamiltonian structure of the -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 -type by direct computations, and construct an -dimensional se…
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 and at the full-dispersive level, and con…
Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies
Si-Qi Liu, Haonan Qu, Youjin Zhang
For two generalized Frobenius manifolds related by a Legendre-type transformation, we show that the associated integrable hierarchies of hydrodynamic type, which are called the Leg…
Solutions of the loop equations of a class of generalized Frobenius manifolds
Si-Qi Liu, Haonan Qu, Yuewei Wang +1
We prove the existence and uniqueness of solution of the loop equation associated with a semisimple generalized Frobenius manifold with non-flat unity, and show, for a particular e…