72 citations · 163 across the 8 of their papers we have counts for
8 papers
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…
Darboux transformations for supersymmetric two-boson equation
Xiao-Xing Niu, Q. P. Liu, Lingling Xue
In this paper we construct Darboux transformations for the supersymmetric Two-boson equation. Two Darboux transformations and associated Bäcklund transformations are presented. For…
Bäcklund-Darboux Transformations and Discretizations of Supersymmetric KdV Equation
Hui Mao, Q. P. Liu
The supersymmetric KdV equation is studied. A Darboux transformation and the corresponding Bäcklund transformation are constructed for this equation. Also, a nonlinear…
A supersymmetric Sawada-Kotera equation
Kai Tian, Q. P. Liu
A new supersymmetric equation is proposed for the Sawada-Kotera equation. The integrability of this equation is shown by the existence of Lax representation and infinite conserved…
Supersymmetric Modified Korteweg-de Vries Equation: Bilinear Approach
Q. P. Liu, Xing-Biao Hu, Meng-Xia Zhang
A proper bilinear form is proposed for the N=1 supersymmetric modified Korteweg-de Vries equation. The bilinear Bäcklund transformation of this system is constructed. As applicatio…
Nonlinear superposition formula for N=1 supersymmetric KdV Equation
Q. P. Liu, Y. F. Xie
In this paper, we derive a Bäcklund transformation for the supersymmetric Kortweg-de Vries equation. We also construct a nonlinear superposition formula, which allows us to rebuild…