91 citations · 175 across the 8 of their papers we have counts for
8 papers
Bäcklund transformations for the constrained dispersionless hierarchies and dispersionless hierarchies with self-consistent sources
Ting Xiao, Yunbo Zeng
The Bäcklund transformations between the constrained dispersionless KP hierarchy (cdKPH) and the constrained dispersionless mKP hieararchy (cdmKPH) and between the dispersionless K…
Integrable dispersionless KdV hierarchy with sources
Zhihua Yang, Ting Xiao, Yunbo Zeng
An integrable dispersionless KdV hierarchy with sources (dKdVHWS) is derived. Lax pair equations and bi-Hamiltonian formulation for dKdVHWS are formulated. Hodograph solution for t…
The constrained dispersionless mKP hierarchy and the dispersionless mKP hierarchy with self-consistent sources
Ting Xiao, Yunbo Zeng
We first show that the quasiclassical limit of the squared eigenfunction symmetry constraint of the Sato operator for the mKP hierarchy leads to a reduction of the Sato function fo…
The quasiclassical limit of the symmetry constraint of the KP hierarchy and the dispersionless KP hierarchy with self-consistent sources
Ting Xiao, Yunbo Zeng
For the first time we show that the quasiclassical limit of the symmetry constraint of the KP hierarchy leads to the generalized Zakharov reduction of the dispersionless KP (dKP) h…
Bäcklund transformations for the KP and mKP hierarchies with self-consistent sources
Ting Xiao, Yunbo Zeng
Using gauge transformations for the corresponding generating pseudo-differential operators in terms of eigenfunctions and adjoint eigenfunctions, we construct several types o…
A new constrained mKP hierarchy and the generalized Darboux transformation for the mKP equation with self-consistent sources
Ting Xiao, Yunbo Zeng
The mKP equation with self-consistent sources (mKPESCS) is treated in the framework of the constrained mKP hierarchy. We introduce a new constrained mKP hierarchy which may be view…