Showing papers in "Physics Letters A in 2006"

TL;DR: Wazwaz et al. as mentioned in this paper applied homotopy perturbation method to nonlinear boundary value problems and compared the result obtained by the present method with that obtained by Adomian method.

TL;DR: In this paper, the homotopy analysis method (HAM) is compared with the numerical and HPM in the heat transfer file and the auxiliary parameter ℏ, which provides a simple way to adjust and control the convergence region of solution series.

TL;DR: In this paper, homotopy perturbation method (HPM), which does not need small parameters in the equations, is compared with the perturbations and numerical methods in the heat transfer field.

TL;DR: In this paper, some Routh-Hurwitz stability conditions are generalized to the fractional order case and the results agree with those obtained numerically for Lorenz, Rossler, Chua and Chen fractional-order equations.

TL;DR: The invisible photon eavesdropping (IPE) scheme, the eavesdropper can obtain full information of the communication with zero risk of being detected, and it is shown that this IPE scheme can be implemented experimentally with current technology.

TL;DR: In this article, the global exponential stability analysis problem for a class of recurrent neural networks (RNNs) with time delays and Markovian jumping parameters is considered, and a new Lyapunov-Krasovskii functional is developed to establish the desired sufficient conditions, which can be easily checked by utilizing the numerically efficient Matlab LMI toolbox.

TL;DR: In this article, a momentum exchange-based immersed boundary-lattice Boltzmann method is presented for simulating incompressible viscous flows, which combines the good features of the LBM and the immersed boundary method (IBM) by using two unrelated computational meshes, an Eulerian mesh for the flow domain and a Lagrangian meshes for the solid boundaries in the flow.

TL;DR: In this article, the authors presented several delay-dependent conditions for a general complex dynamical network model with coupling delays, which guarantee the synchronized states to be asymptotically stable.

TL;DR: In this paper, the authors numerically investigate the chaotic behaviors of the fractional-order Lu system and find that the lowest order for this system to have chaos is 0.3, which is the lowest-order chaotic system among all the found chaotic systems reported in the literature to date.

TL;DR: In this paper, the relativistic energy spectra of the Dirac and Klein-Gordon equations with scalar and vector potentials of equal magnitudes were obtained and a proper physical interpretation of this class of problems was given.

TL;DR: In this article, the global exponential synchronization in arrays of coupled identical delayed neural networks (DNNs) with constant and delayed coupling was investigated, and sufficient conditions were derived for global synchronization of such systems.

TL;DR: In this article, the variational iteration method and the Adomian decomposition method are used for solving linear fractional partial differential equations arising in fluid mechanics, where the solution takes the form of a convergent series with easily computable components.

TL;DR: In this paper, a relation between semi-direct sums of Lie algebras and integrable couplings of continuous soliton equations is presented, and correspondingly, a feasible way to construct integrably couplings is furnished.

TL;DR: In this article, He's homotopy perturbation method (HPM) is implemented for solving the nonlinear Hirota-Satsuma coupled KdV partial differential equation.

TL;DR: In this paper, the non-linear equations governing the flow under discussion are reduced to an ordinary differential equation with the help of homotopy analysis method (HAM), the analytical solution is obtained in the series form convergence of the series is explicitly discussed.

TL;DR: In this paper, the global asymptotic stability analysis problem for a class of uncertain stochastic Hopfield neural networks with discrete and distributed time-delays was studied.

TL;DR: In this article, a unified mathematical expression describing a class of chaotic systems is presented, for which the problem of adaptive synchronization between two different chaotic systems with unknown parameters has been studied.

TL;DR: In this article, the improved F -expansion method and the condition under which it can be used for the generalized Hirota-Satsuma coupled KdV equation are introduced.

TL;DR: In this article, the authors investigated the time delay dependent stability problem for a class of time delay neural networks and proposed a novel Lyapunov Krasovskii functional.

TL;DR: Simulation results show that performance and security of the proposed cryptographic scheme are better than those of existing algorithms.

TL;DR: The Adomian decomposition method has been successively used to find the explicit and numerical solutions of the time fractional partial differential equations as mentioned in this paper, which has been used to solve different examples of special interest with fractional time and space derivatives of order α.

TL;DR: In this paper, a non-local elastic beam and shell model was developed and applied to investigate the small scale effect on buckling analysis of carbon nanotubes (CNTs) under compression.

TL;DR: An absolutely secure, fast, inexpensive, robust, maintenance-free and low-power- consumption communication is proposed, where the eavesdropper can decode the message if she inject current in the wire and measures the voltage change and the current changes in the two directions.

TL;DR: In this article, a three-party simultaneous quantum secure direct communication (QSDC) scheme was proposed by using Greenberger-Horne-Zeilinger (GHZ) states.

TL;DR: In this article, the homotopy analysis method was used to investigate the flow of a fourth grade fluid past a porous plate, and the non-linear effects on the velocity distribution were discussed.

TL;DR: This work shows that spectral fluctuation of interaction matrices of a yeast protein–protein interaction network and a yeast metabolic network follows the description of the Gaussian orthogonal ensemble of random matrix theory (RMT).

TL;DR: In this article, a large class of generalized variable-coefficient Korteweg-de Vries (KdV) models with external-force and perturbed/dissipative terms is studied.

TL;DR: In this paper, the authors present an investigation of possible Jeans instabilities of self-gravitating astrophysical quantum dusty plasma systems with electrostatic perturbations, and derive dispersion relations for three different cases.

TL;DR: In this paper, the secret transmitting order of particles (STE) protocol was improved by using techniques used in the protocol presented by Zhu et al. [A.D. Zhu, Y. Xia, Q.B. Fan, S. Zhang, Zhang, Phys. Rev. Lett.

TL;DR: In this paper, the six-dimensional exotic Galilean algebra with two central charges m and θ was extended to a ten-dimensional conformal algebra with dilatation, expansion, two acceleration generators and the central charge θ.