15 citations · 42 across the 7 of their papers we have counts for
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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…
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…
The applications of the gauge transformation for the BKP hierarchy
Jipeng Cheng, Jingsong He
In this paper, we investigated four applications of the gauge transformation for the BKP hierarchy. Firstly, it is found that the orbit of the gauge transformation for the constrai…
The gauge transformation of the constrained semi-discrete KP hierarchy
Maohua Li, Jipeng Cheng, Jingsong He
In this paper, the gauge transformation of the constrained semi-discrete KP(cdKP) hierarchy is constructed explicitly by the suitable choice of the generating functions. Under the…