982 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Chinese Academy of SciencesCN17 papers
- Institute of Applied Physics and Computational MathematicsCN16 papers
- China University of Mining and TechnologyCN11 papers
- Peking UniversityCN10 papers
- State Key Laboratory for Geomechanics and Deep Underground EngineeringCN8 papers
- Institute of High Energy PhysicsCN7 papers
- University of Chinese Academy of SciencesCN7 papers
- Southwest UniversityCN5 papers
- Academy of Mathematics and Systems ScienceCN4 papers
- Institute of Theoretical PhysicsCN4 papers
- The Abdus Salam International Centre for Theoretical Physics (ICTP)IT4 papers
- Beijing Institute of Petrochemical TechnologyCN3 papers
18 papers · 1 filter
Supersymmetric Sawada-Kotera Equation: Bäcklund-Darboux Transformations and Applications
Hui Mao, Q. P. Liu, Lingling Xue
In this paper, we construct a Darboux transformation and the related Bäcklund transformation for the supersymmetric Sawada-Kotera (SSK) equation. The associated nonlinear superposi…
Conservation laws of the generalized Riemann equations at
Binfang Gao, Kai Tain, Q. P. Liu +1
In this paper, we present infinitely many conserved densities satisfying particular conservation law for the generalized Riemann equations at . In the $N…
Bäcklund-Darboux Transformations and Discretizations of Super KdV Equation
Ling-Ling Xue, Qing Ping Liu
For a generalized super KdV equation, three Darboux transformations and the corresponding Bäcklund transformations are constructed. The compatibility of these Darboux transformatio…
Supersymmetric KdV equation: Darboux transformation and discrete systems
Ling-Ling Xue, D. Levi, Q. P. Liu
For the supersymmetric KdV equation, a proper Darboux transformation is presented. This Darboux transformation leads to the Bäcklund transformation found early by Liu and Xie \cite…
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…
A non-standard Lax formulation of the Harry Dym hierarchy and its supersymmetric extension
Kai Tian, Ziemowit Popowicz, Q. P. Liu
For the Harry Dym hierarchy, a non-standard Lax formulation is deduced from that of Korteweg-de Vries (KdV) equation through a reciprocal transformation. By supersymmetrizing this…
The transformations between N=2 supersymmetric KdV and HD equations
Kai Tian, Q. P. Liu
The N=2 supercomformal transformations are employed to study supersymmetric integrable systems. It is proved that two known N=2 supersymmetric Harry Dym equations are transformed i…
Nonlinear Schrödinger Equation: Generalized Darboux Transformation and Rogue Wave Solutions
Boling Guo, Liming Ling, Q. P. Liu
In this paper, we construct a generalized Darboux transformation for nonlinear Schrödinger equation. The associated -fold Darboux transformation is given both in terms of a summ…
The Even and Odd Supersymmetric Hunter - Saxton and Liouville Equations
Q. P. Liu, Ziemowit Popowicz, Kai Tian
It is shown that two different supersymmetric extensions of the Harry Dym equation lead to two different negative hierarchies of the supersymmetric integrable equations. While the…
Darboux transformation for two component derivative nonlinear Schrödinger equation
Liming Ling, Q. P. Liu
In this paper, we consider the two component derivative nonlinear Schrödinger equation and present a simple Darboux transformation for it. By iterating this Darboux transformation,…
Bilinear Approach to N=2 Supersymmetric KdV equations
Meng-Xia Zhang, Q. P. Liu, Ya-Li Shen +1
The N=2 supersymmetric KdV equations are studied within the framework of Hirota's bilinear method. For two such equations, namely and supersymmetric KdV equat…
Supersymmetric Two-Boson Equation: Bilinearization and Solutions
Q. P. Liu, Xiao-Xia Yang
A bilinear formulation for the supersymmetric two-boson equation is derived. As applications, some solutions are calculated for it. We also construct a bilinear Backlund transforma…
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…
Darboux Transformation and Variable Separation Approach: the Nizhnik-Novikov-Veselov equation
Heng-chun Hu, Sen-yue Lou, Qing-ping Liu
Darboux transformation is developed to systematically find variable separation solutions for the Nizhnik-Novikov-Veselov equation. Starting from a seed solution with some arbitrary…
New Darboux Transformation for Hirota-Satsuma coupled KdV System
Heng Chun Hu, Q. P. Liu
A new Darboux transformation is presented for the Hirota-Satsuma coupled KdV system. It is shown that this Darboux transformation can be constructed by means of two methods: Painle…
Darboux transformation for the modified Veselov-Novikov equation
Delong Yu, Q. P. Liu, Shikun Wang
A Darboux transformation is constructed for the modified Veselov-Novikov equation.
Decouple a coupled KdV system of Nutku and Oguz
Heng Chun Hu, Q. P. Liu
A coupled KdV system with a free parameter proposed by Nutku and Oguz is considered. It is shown that the system passes the WTC's Painlevé test for arbitrary value of the parameter…