Publish in OALib Journal

ISSN: 2333-9721

APC: Only $99


Any time

2020 ( 24 )

2019 ( 451 )

2018 ( 1695 )

2017 ( 1568 )

Custom range...

Search Results: 1 - 10 of 285533 matches for " Q. P. Liu "
All listed articles are free for downloading (OA Articles)
Page 1 /285533
Display every page Item
Hamiltonian Structures of Multi-component Constrained KP Hierarchy
Q. P. Liu
Physics , 1995,
Abstract: We consider the Hamiltonian theory for the multi-component KP hierarchy. We show that the second Hamiltonian structures constructed by Sidorenko and Strampp[J. Math. Phys. {\bf 34}, 1429(1993)] are not Hamiltonian. A candidate for the second Hamiltonian Structures is proposed and is proved to lead to hereditary operators.
Darboux Transformations for Supersymmetric Korteweg - de Vries Equations
Q. P. Liu
Physics , 1994, DOI: 10.1007/BF00750761
Abstract: \hspace{.2in}We consider the Darboux type transformations for the spectral problems of supersymmetric KdV systems. The supersymmetric analogies of Darboux and Darboux-Levi transformations are established for the spectral problems of Manin-Radul-Mathieu sKdV and Manin-Radul sKdV. Several B\"acklund transformations are derived for the MRM sKdV and MR sKdV systems.
Painlevé Analysis and Exact Solutions of a Modified Boussinesq Equation
Q. P. Liu
Physics , 1995,
Abstract: We consider a modified Boussinesq type equation. The Painlev\'{e} test of the WTC method is performed for this equation and it shows that the equation has weak Painlev\'{e} property. Some exact solutions are constructed.
Supersymmetric Harry Dym Type Equations
Q. P. Liu
Physics , 1995, DOI: 10.1088/0305-4470/28/8/004
Abstract: A supersymmetric version is proposed for the well known Harry Dym system. A general class super Lax operator which leads to consistent equations is considered.
Fully Supersymmetric Hierarchies From A Energy Dependent Super Hill Operator
Q. P. Liu
Physics , 1997, DOI: 10.1088/0305-4470/30/24/025
Abstract: A super Hill operator with energy dependent potentials is proposed and the associated integrable hierarchy is constructed explicitly. It is shown that in the general case, the resulted hierarchy is multi-Hamiltonian system. The Miura type transformations and modified hierarchies are also presented.
On the Integrable Hierarchies Associated With N=2 Super $W_n$ Algebra
Q. P. Liu
Physics , 1997, DOI: 10.1016/S0375-9601(97)00638-5
Abstract: A new Lax operator is proposed from the viewpoint of constructing the integrable hierarchies related with N=2 super $W_n$ algebra. It is shown that the Poisson algebra associated to the second Hamiltonian structure for the resulted hierarchy contains the N=2 super Virasoro algebra as a proper subalgebra. The simplest cases are discussed in detail. In particular, it is proved that the supersymmetric two-boson hierarchy is one of N=2 supersymmetric KdV hierarchies. Also, a Lax operator is supplied for one of N=2 supersymmetric Boussinesq hierarchies.
The Constrained MKP Hierarchy and the Generalized Kupershmidt-Wilson Theorem
Q. P. Liu
Physics , 1997,
Abstract: The constrained Modified KP hierarchy is considered from the viewpoint of modification. It is shown that its second Poisson bracket, which has a rather complicated form, is associated to a vastly simpler bracket via Miura-type map. The similar results are established for a natural reduction of MKP.
Miura Map between Lattice KP and its Modification is Canonical
Q. P. Liu
Physics , 1999,
Abstract: We consider the Miura map between the lattice KP hierarchy and the lattice modified KP hierarchy and prove that the map is canonical not only between the first Hamiltonian structures, but also between the second Hamiltonian structures.
Darboux transformation for two component derivative nonlinear Schr?dinger equation
Liming Ling,Q. P. Liu
Physics , 2009, DOI: 10.1088/1751-8113/43/43/434023
Abstract: In this paper, we consider the two component derivative nonlinear Schr\"{o}dinger equation and present a simple Darboux transformation for it. By iterating this Darboux transformation, we construct a compact representation for the $N-$soliton solutions.
Darboux Transformation for the Manin-Radul Supersymmetric KdV equation
Q. P. Liu,M. Manas
Physics , 1997, DOI: 10.1016/S0370-2693(97)00026-9
Abstract: In this paper we present a vectorial Darboux transformation, in terms of ordinary determinants, for the supersymmetric extension of the Korteweg-de Vries equation proposed by Manin and Radul. It is shown how this transformation reduces to the Korteweg-de Vries equation. Soliton type solutions are constructed by dressing the vacuum and we present some relevant plots.
Page 1 /285533
Display every page Item

Copyright © 2008-2017 Open Access Library. All rights reserved.