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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. Source


Yang J.,Beijing Information Science and Technology University
Mathematical Problems in Engineering | Year: 2013

Recent literature highlights the multiple description coding (MDC) as a promising method to solve the problem of resilient image coding over error-prone networks, where packet losses occur. In this paper, we introduce a novel multiple description wavelet-based image coding scheme using fractal. This scheme exploits the fractal's ability, which is to describe the different resolution scale similarity (redundancy) among wavelet coefficient blocks. When one description is lost, the lost information can be reconstructed by the proposed iterated function system (IFS) recovering scheme with the similarity and some introduced information. Compared with the referenced methods, the experimental results suggest that the proposed scheme can achieve better performance. Furthermore, it is substantiated to be more robust for images transmission and better subjective quality in reconstructed images even with high packet loss ratios. © 2013 Jie Yang. Source


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. Source


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. Source


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. Source

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