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Wen X.-Y.,Beijing Information Science and Technology University
Reports on Mathematical Physics | Year: 2011

In this paper, Toda lattice equation is investigated via Darboux transformation (DT) technique. The N-fold DT for Toda lattice equation is constructed basing on its Lax representation. The 2 N -soliton solutions are also derived via the resulting DT. Soliton structures and interaction behavior of those solutions are shown graphically, which might be helpful for understanding the propagation of nonlinear waves in fluid and ergodic theory. © 2011 Polish Scientific Publishers.


Wen X.-Y.,Beijing Information Science and Technology University
Reports on Mathematical Physics | Year: 2011

Starting from a discrete spectral problem, new hierarchies of integrable lattice equations are presented. Some associated properties are discussed. By applying the discrete trace identity, the Hamiltonian structures for a new hierarchy are derived, it is shown that the resulting hierarchy is integrable in the Liouville sense. Moreover, a Darboux transformation with four variable functions for a typical equation coming from the new hierarchy is constructed based on its Lax pairs, the explicit solutions are obtained with the Darboux transformation, the structures for those obtained solutions are graphically investigated. Further, the infinitely many conservation laws for that typical equation are given. Finally, an integrable coupling system of the resulting hierarchy is constructed through enlarging spectral problems. All these properties may be helpful to explain some physical phenomena. © 2011 Polish Scientific Publishers PWN, Warszawa.


Feng M.,Beijing Information Science and Technology University
Nonlinear Analysis: Real World Applications | Year: 2012

Using coincidence degree theory and different techniques from those used by N. Các, this paper is devoted to study the existence of periodic solutions for a prescribed mean curvature Liénard equation with a deviating argument (x′/√1+x′ 2) ′+f(x(t)) x′(t)+g(t,x(t-τ(t)))=e(t), where g∈C( R2, R1),f,e and τ are T-periodic. The results are illustrated with an example, which cannot be handled using the existing results. © 2011 Elsevier Ltd. All rights reserved.


Li B.,Beijing Information Science and Technology University
2nd International Workshop on Education Technology and Computer Science, ETCS 2010 | Year: 2010

With the development of SOA from concept to application in recent years, SOA has been accepted and used in the e-business and the other application fields. But the selection of SOA standards is very difficult for the IT enterprise to develop the SOA related software. The research on SOA standards and the dynamic semantic integration method based on SOA and component oriented technologies are presented in this paper in depth. After analyzing the requirement services in the refinery enterprise, it develops the component libraries and then gives a solution to build the integrated Web services system based on the SOA standards. © 2010 IEEE.


Zhao M.-J.,Beijing Information Science and Technology University
Physical Review A - Atomic, Molecular, and Optical Physics | Year: 2015

We study maximally entangled states and fully entangled fraction in general d′âš - d (d′≥d) systems. Necessary and sufficient conditions for maximally entangled pure and mixed states are presented. As a natural generalization of the usual fully entangled fraction for dâš - d systems, we define the maximal overlap between a given quantum state and the maximally entangled states as the fully entangled fraction in d′âš - d systems. The properties of this fully entangled fraction and its relations to quantum teleportation have been analyzed. The witness for detecting maximally entangled states and quantum states that are useful for quantum teleportation is provided. © 2015 American Physical Society.


Li H.,Beijing Information Science and Technology University
Proceedings - 2010 IEEE International Conference on Intelligent Computing and Intelligent Systems, ICIS 2010 | Year: 2010

In wireless sensor network, there are many hurdles takes place in providing quality of service routing to a desired level. The majority of routing protocols in wireless sensor networks concentrates on energy efficiency as a prime factor. Developing an energy-efficient routing protocol has a significant impact on the overall lifetime and stability of the sensor network. In this paper, we have considered three types of sensor nodes. Some fraction of the sensor nodes are equipped with the additional energy resources than the other nodes. We have assumed that all the sensor nodes are uniformly distributed. In the Heterogeneous WSN, we proposed an energy efficient cluster head election protocol (LEACH-HPR) and using the minimum spanning tree algorithm to construct an inter-cluster routing. Simulation results show out method is more efficient to reduce and balance energy consumption and hence prolong the lifetime of WSN. ©2010 IEEE.


Wen X.-Y.,Beijing Information Science and Technology University
Nonlinear Analysis: Real World Applications | Year: 2011

In this paper, the (2+1)-dimensional BroerKaupKupershmidt system is investigated by means of Bcklund transformation and the Hirota bilinear method. With symbolic computation, the N-soliton solutions with N+1 arbitrary functions for that system are derived. Based on the derived solutions, some soliton structures, localized structures and special fission interaction behaviour are graphically studied, which might be helpful to understand the propagation processes for nonlinear and dispersive long waves in shallow water. © 2011 Elsevier Ltd. All rights reserved.


Wen X.-Y.,Beijing Information Science and Technology University
Journal of the Physical Society of Japan | Year: 2012

The nonlinear self-dual network equation can describe the propagation of electrical signals in electric circuit. In this paper, the nonlinear self-dual network equation is investigated via Darboux transformation (DT) technique. N-fold DT and conservation laws for the nonlinear self-dual network equation are constructed on the basis of its Lax representation. N-soliton solutions in terms of determinant are derived with the resulting DT. Structures of the one-, two-, and three-soliton solutions are shown graphically. Elastic interaction phenomena between/among the two and three solitons are discussed for the nonlinear self-dual network equation, which might be helpful to understanding the propagation of electrical signals. © 2012 The Physical Society of Japan.


Meng X.-H.,Beijing Information Science and Technology University
Physica A: Statistical Mechanics and its Applications | Year: 2014

Taking the inhomogeneities of media and nonuniform boundaries into account, the variable-coefficient equations can describe more realistic physical phenomena than their constant-coefficient counterparts. In this paper, a variable-coefficient forced Kadomtsev-Petviashvili equation with inhomogeneous nonlinearity, dispersion, perturbed term and external force is investigated. Using a modified dependent variable transformation, this equation is first bilinearized. Then, the N-soliton solutions in two different kinds of determinant structure, that is the Wronskian and Grammian determinant soliton solutions for the variable-coefficient forced Kadomtsev-Petviashvili equation are presented and verified under certain coefficient constraints. The sample soliton solutions are given by choosing suitable determinant elements, and several kinds of soliton evolution situations are discussed and illustrated.© 2014 Elsevier B.V. All rights reserved.


Wen X.-Y.,Beijing Information Science and Technology University
Reports on Mathematical Physics | Year: 2012

With the aid of symbolic computation, the (2+1)-dimensional dispersive long-wave equations are investigated via Bäcklund transformation and the Hirota bilinear method, two types of new multiple soliton solutions with 2. n + 1 arbitrary functions for that system are derived. Based on the derived solutions, abundant coherent structures like dromions, compactons and peakons are derived, and moreover, the fission and fusion interactions among different types of localized structures are discussed graphically, which might be helpful for understanding the travel of the shallow water wave. © 2012 Polish Scientific Publishers.

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