60 citations · 123 across the 4 of their papers we have counts for
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A Generalized Dressing Approach for Solving the Extended KP and the Extended mKP Hierarchy
Xiaojun Liu, Runliang Lin, Bo Jin +1
A combination of dressing method and variation of constants as well as a formula for constructing the eigenfunction is used to solve the extended KP hierarchy, which is a hierarchy…
A new multi-component two dimensional Toda lattice hierarchy and two dimensional Toda lattice with self-consistent sources
Xiaojun Liu, Yunbo Zeng, Runliang Lin
We propose a new multi-component two-dimensional Toda lattice hierarchy (mc2dTLH) which includes two-dimensional Toda lattice equation with self-consistent sources (2dTLSCS) as the…
A new extended KP hierarchy
Xiaojun Liu, Yunbo Zeng, Runliang Lin
A method is proposed to construct a new extended KP hierarchy, which includes two types of KP equation with self-consistent sources and admits reductions to k-constrained KP hierar…
Restricted Flows and the Soliton Equation with Self-Consistent Sources
Runliang Lin, Haishen Yao, Yunbo Zeng
The KdV equation is used as an example to illustrate the relation between the restricted flows and the soliton equation with self-consistent sources. Inspired by the results on the…