20 citations · 34 across the 4 of their papers we have counts for
4 papers
The Virasoro symmetries of the bigraded modified Toda hierarchy
Yi Yang
Modified Toda hierarchy is a two-component generalization of the 1st modified KP hierarchy, which has been widely applied to analyze constraints of the Toda hierarchy, including th…
The Modified Toda Hierarchy
Wenjuan Rui, Wenchuang Guan, Yi Yang +1
In this paper, modified Toda (mToda) equation is generalized to form an integrable hierarchy in the framework of Sato theory, which is therefore called mToda hierarchy. Inspired by…
CKP hierarchy and free Bosons
Yi Yang, Lumin Geng, Jipeng Cheng
In this paper, free Bosons are used to study some integrable properties of the CKP hierarchy, from the aspects of tau functions. Firstly, the modified CKP hierarchy is constructed…
Bilinear equations in Darboux transformations by Boson-Fermion correspondence
Yi Yang, Jipeng Cheng
Bilinear equation is an important property for integrable nonlinear evolution equation. Many famous research objects in mathematical physics, such as Gromov-Witten invariants, can…