Showing papers in "Physics Letters A in 2008"

TL;DR: The (G'/G)-expansion method is firstly proposed in this paper, where G = G(xi) satisfies a second order linear ordinary differential equation (LODE for short), by which the travelling wave solutions involving parameters of the KdV equation, the mKdV equations, the variant Boussinesq equations and the Hirota-Satsuma equations are obtained when the parameters are taken as special values.

TL;DR: The experimental results demonstrate that the suggested encryption algorithm of image has the advantages of large key space and high security, and moreover, the distribution of grey values of the encrypted y image has a random-like behavior.

TL;DR: In this paper, a two-component integrable system of coupled equations was derived in the context of shallow water theory and it was shown that while small initial data develop into global solutions, for some initial data wave breaking occurs.

TL;DR: In this paper, the authors proposed to introduce a certain diffusion effect in the substitution stage by simple sequential add-and-shift operations, which leads to a longer processing time in a single round, but reduces the overall encryption time.

TL;DR: In this paper, the influence of heat transfer and magnetic field on the peristaltic flow of Newtonian fluid in a vertical annulus under a zero Reynolds number and long wavelength approximation is discussed.

TL;DR: In this paper, a generalized (G ′ G ) -expansion method is proposed to seek exact solutions of nonlinear evolution equations, which can be used for many other non-linear evolution problems in mathematical physics.

TL;DR: In this paper, the authors established abundant travelling wave solutions for some nonlinear evolution equations, expressed by the hyperbolic functions, the trigonometric functions, and the rational functions.

TL;DR: In this article, a numerical analysis for flow and heat transfer in a viscous fluid over a sheet nonlinearly stretched by extending the investigation in two directions is presented, on one side, the effects of thermal radiation are included in the energy equation, and on the other hand, the prescribed wall heat flux case (PHF case) is also analyzed.

TL;DR: In this article, the authors analyzed the MHD flow of a conducting couple stress fluid in a slit channel with rhythmically contracting walls and derived analytical expressions for the stream function, the magnetic force function, axial pressure gradient, the axial induced magnetic field and the distribution of the current density across the channel using long wavelength approximation.

TL;DR: Wang et al. as mentioned in this paper proposed a generalized (G ′ G ) -expansion method to find exact solutions of nonlinear evolution equations, including the Nizhnik-Novikov-Vesselov equation, Broer-Kaup equation, and Kadomstev-Petviashvili equation.

TL;DR: This Letter proposes two different attacks on a recently proposed image based on hyper-chaos: a chosen plaintext attack and a chosen ciphertext attack can be done to recover the ciphered-image without any knowledge of the key value.

TL;DR: In this paper, the 1-soliton solution of K (m, n ) equation with the generalized evolution term in it was obtained and the solitary wave ansatz was used to obtain the exact solution.

TL;DR: In this article, a new luminescence mechanism based on the recombination related to oxygen vacancies was proposed to explain the temperature dependent visible emission, which was significantly influenced by the carrier depletion and band bending caused by surface effects, and the observed attenuation of UV emission with increasing temperature was ascribed to the decreasing depletion region and the increasing surface states related nonradiative recombination.

TL;DR: In this paper, a new approach for constructing projective synchronization of fractional order unified systems is proposed, based on the stability criterion of linear systems, which can be used to analyze the dynamical behavior of the fractional-order unified system.

TL;DR: In this paper, the screening and wake potentials around a test charge in an electron-ion quantum plasma were studied, by using the linear dielectric response formalism, and the short range screening potential in quantum plasmas was found to be significantly different from the Debye-Huckel shielding potential, while the wake potential has a long-range oscillatory behavior.

TL;DR: In this article, the Exp-function method is used to construct solitary and soliton solutions of nonlinear evolution equations, including the Klein-Gordon, Burger-Fisher and Sharma-Tasso-Olver equations.

TL;DR: In this paper, a generalized solitary solution of the Jaulent-miodek equations is obtained using the Exp-function method, which can be easily converted into a generalized compacton-like solution.

TL;DR: In this article, a unified LMI approach is developed to establish sufficient conditions for the coupled complex networks to be globally exponentially synchronized in the mean square. But the authors do not consider the nonlinearities of the complex networks.

TL;DR: In this article, the effects of the material parameter K, Prandtl number Pr, velocity exponent m, and heat flux exponent n on the heat transfer characteristics of micropolar fluids are studied.

TL;DR: In this paper, the authors used the linear approximation to the Navier-Stokes equations to derive a new set of equations for potential flow which include dissipation due to viscosity.

TL;DR: In this paper, the effects of both magnetic field and wall slip conditions on the peristaltic transport of a Newtonian fluid in an asymmetric channel are studied analytically and numerically.

TL;DR: In this article, the synchronization problem for a class of stochastic complex networks with time delays is investigated and sufficient conditions for the globally asymptotically mean-square synchronization are formulated in terms of linear matrix inequalities (LMIs).

TL;DR: In this article, a new chaotic system is discussed and some basic dynamical properties such as Lyapunov exponents, Poincare mapping, fractal dimension, bifurcation diagram, continuous spectrum and chaotic dynamical behaviors of the new chaotic systems are studied, either numerically or analytically.

TL;DR: It is shown that there exists an intermediate transmission delay by which the spiral waves are optimally ordered, hence indicating the existence of delay-enhanced coherence of spatial dynamics in the examined system.

TL;DR: In this article, the effect of elasticity of the flexible walls on the peristaltic flow of a Newtonian fluid in a two-dimensional porous channel with heat transfer has been studied under the assumptions of long-wavelength and low-Reynolds number.

TL;DR: In this paper, the authors introduced a new chaotic member to the three-dimensional smooth autonomous quadratic system family, which derived from the classical Lorenz system but exhibits a three-scroll chaotic attractor.

TL;DR: In this paper, the peristaltic analysis of MHD viscous fluid in a two-dimensional channel with variable viscosity under the effect of slip condition is studied.

TL;DR: In this article, the mean square exponential stability of uncertain stochastic delayed neural networks has been investigated by applying Lyapunov functional method, and new delay-dependent/independent MSE stability criteria are derived in terms of linear matrix inequalities.

TL;DR: In this paper, the steady two-dimensional mixed convection flow of a micropolar fluid over a non-linear stretching sheet is investigated and the governing nonlinear equations and their associated boundary conditions are transformed into coupled nonlinear ordinary differential equations.