37 citations · 55 across the 8 of their papers we have counts for
9 papers
Backlund transformation of the Geng-Xue system
Lihua Wu, Nianhua Li
We construct a Backlund transformation for the Geng-Xue system with the help of reciprocal and gauge transformations. Furthermore, we derive N-Backlund transformation for the Geng-…
Smooth multisoliton solutions of the Geng-Xue equation
Nianhua Li, Q. P. Liu
We present a reciprocal transformation which links the Geng-Xue equation to a particular reduction of the first negative flow of the Boussinesq hierarchy. We discuss two reductions…
On soliton solutions and soliton interactions of Kulish-Sklyanin and Hirota-Ohta systems
Vladimir S. Gerdjikov, Nianhua Li, Vladimir B. Matveev +1
In this paper we consider a simplest two-dimensional reduction of the remarkable three-dimensional Hirota-Ohta system. The Lax pair of the Hirota-Ohta system was extended to a Lax…
A new 3-component Degasperis-Procesi hierarchy
Nianhua Li
We study the bi-Hamiltonian structures for the hierarchy of a 3-component generalization of the Degasperis-Procesi (3-DP) equation. We show that all Hamiltonian functionals in the…
A reciprocal transformation for a 3-component Camassa-Holm type system
Nianhua Li
A reciprocal transformation for a 3-component Camassa-Holm type system is constructed to connect it with the first negative flow of a generalized MKdV hierarchy, and a bi-Hamiltoni…
Reciprocal link for a three-component Camassa-Holm type equation
Nianhua Li
We discuss a reciprocal transformation for a three-component Camassa-Holm type equation and find that the transformed system is a reduction of the first negative flow for an extend…
Reciprocal link for a coupled Camassa-Holm type equation
Nianhua Li, Jinshun Zhang, Lihua Wu
A coupled Camassa-Holm type equation is linked to the first negative flow of a modified Drinfeld-Sokolov III hierarchy by a transformation of reciprocal type. Meanwhile the Lax pai…
A four-component Camassa-Holm type hierarchy
Nianhua Li, Q. P. Liu, Z. Popowicz
We consider a 33 spectral problem which generates four-component CH type systems. The bi-Hamiltonian structure and infinitely many conserved quantities are constructed for…
Constraints and Soliton Solutions for the KdV Hierarchy and AKNS Hierarchy
NianHua Li, YuQi Li
It is well-known that the finite-gap solutions of the KdV equation can be generated by its recursion operator.We generalize the result to a special form of Lax pair, from which a m…