39 citations · 198 across the 20 of their papers we have counts for
20 papers
Solutions of generalized constrained discrete KP hierarchy
Xuepu Mu, Mengyao Chen, Jipeng Cheng +1
Solutions of a generalized constrained discrete KP (gcdKP) hierarchy with constraint on Lax operator , are invesitigated by Darboux…
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…
Hirota Quadratic Equations for the Gromov--Witten Invariants of
Jipeng Cheng, Todor Milanov
Fano orbifold lines are classified by the Dynkin diagrams of type and . It is known that the corresponding total descendant potential is a tau-function of an appropriate…
The extended D-Toda hierarchy
Jipeng Cheng, Todor Milanov
In a companion paper to this one, we proved that the Gromov--Witten theory of a Fano orbifold line of type is governed by a system of Hirota Bilinear Equations. The goal of thi…
Quantum torus symmetries of multicomponent modified KP hierarchy and reductions
Chuanzhong Li, Jipeng Cheng
In this paper, we construct the multicomponent modified KP hierarchy and its additional symmetries. The additional symmetries constitute an interesting multi-folds quantum torus ty…