91 citations · 175 across the 8 of their papers we have counts for
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nlin.SI2005★ 8 cited
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…
nlin.SI2005★ 9 cited
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…
nlin.SI2005★ 11 cited
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…