Showing papers in "Physics Letters A in 2007"

TL;DR: In this article, the scale effect on static deformation of micro- and nano-rods or tubes is revealed through nonlocal Euler-Bernoulli beam theory and Timoshenko beam theory.

TL;DR: In this paper, the authors presented an efficient and reliable treatment of the homotopy perturbation method (HPM) for nonlinear partial differential equations with fractional time derivative, described in the Caputo sense.

TL;DR: In this article, an analytic technique, namely the homotopy analysis method (HAM), is applied to solve a generalized Hirota-Satsuma coupled KdV equation, which provides a simple way to adjust and control the convergence region of solution series.

TL;DR: Based on the stability theorem in fractional differential equations, a necessary condition is given to check existence of double scroll attractor in a fractional-order system as mentioned in this paper, and numerical simulations are presented to evaluate accuracy of this condition.

TL;DR: In this paper, the variational iteration method and the homotopy perturbation method are used for solving the system of fraction differential equations (FDE) generated by a multi-order fraction differential equation.

TL;DR: In this paper, a totally analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder is obtained using homotopy analysis method (HAM), and the series solution is developed and the recurrence relations are given explicitly.

TL;DR: In this article, the average fidelity of a quantum operation on a finite-dimensional quantum system was derived and numerous applications of a compact explicit formula for the average frequency of the operation were presented.

TL;DR: A new image encryption algorithm based on one-dimensional piecewise nonlinear chaotic maps that tries to improve the problem of failure of encryption such as small key space, encryption speed and level of security.

TL;DR: In this article, the bound state solutions of the Manning-Rosen potential with the centrifugal term are presented approximately, and the solutions can be expressed by the generalized hypergeometric functions F 1 2 (a, b, c, z ).

TL;DR: In this article, a new generalization of the two-dimensional differential transform method was proposed to solve a diffusion-wave equation with space-and time-fractional derivatives, based on generalized Taylor's formula and Caputo fractional derivative.

TL;DR: In this article, a hyperchaotic Lorenz system is constructed via state feedback control using the Lyapunov exponents, Poincare section and bifurcation diagram.

TL;DR: In this article, a new scheme, deduced from He's homotopy perturbation method, is presented for solving Lane-Emden type singular IVPs problem, and only a few terms are required to obtain accurate computable solutions.

TL;DR: In this paper, the authors proposed a modified susceptible-infected-recovered (SIR) model, in which each node is assigned with an identical capability of active contacts, A, at each time step.

TL;DR: In this article, the Exp-function method is used to obtain generalized solitonary solutions and periodic solutions of a KdV equation with variable coefficients, with the help of symbolic computation.

TL;DR: In this paper, the peristaltic transport of an incompressible, electrically conducting Maxwell fluid in a planar channel is considered, where the flow in the porous space is due to a sinusoidal wave traveling on the channel walls.

TL;DR: In this article, the Swift-Hohenberg equation with cubic and quintic nonlinearities exhibits multiple stable and unstable spatially localized states of arbitrary length in the vicinity of the Maxwell point between spatially homogeneous and periodic states.

TL;DR: The sub-ODE method as mentioned in this paper uses a subsidiary ordinary differential equation method to obtain the traveling wave solutions of a complicated nonlinear wave equation. But the sub-DE method is not suitable for solving complex nonlinear problems.

TL;DR: In this article, the authors presented the first available numerical solutions of the fractional KdV-Burgers-Kuramoto equation for nonlinear fractional differential equations.

TL;DR: In this paper, an analytical approximation to the solution of Schrodinger equations has been studied and the results reveal that the method is very effective and simple, and some examples are provided.

TL;DR: In this paper, the variational iteration method is applied to solve integro-differential equations, and the results show that the method provides a straightforward and powerful mathematical tool for solving various integro differential equations.

TL;DR: A mean-field theory is worked out by considering the influence of network topological structure and the unequal footings of neighbors of an infected node in propagating the rumor, which finds that the final infected density of population with degree k is ρ ( k ) = 1 − exp ( − α k ) , where α is a parameter related to network structure.

TL;DR: In this paper, the radial Schrodinger equation for the rotating Morse potential in the frame of the Pekeris approximation is solved using exact quantization rule for non-zero l values.

TL;DR: In this paper, a procedure for determining a class of partial differential equations of polynomial type, which possess specified Frobenius integrable decompositions is provided, and two concrete examples with logarithmic derivative Backlund transformations are given, and the presented partial DAs are transformed into Frobenians integrably ordinary differential equations with cubic nonlinearity.

TL;DR: In this article, exact solutions for some nonlinear evolution equations are obtained based on the Exp-function method, including the KdV equation, the Burgers' equation, and the combined kdV-mKdV equations.

TL;DR: In this article, the authors proposed the concept of the nano liquid-metal fluid, aiming to establish an engineering route to make the highest conductive coolant, using several widely accepted theoretical models for characterizing the nano fluid, the thermal conductivity enhancement of the liquid metal fluid due to addition of more conductive nano particles was predicted.

TL;DR: Tian and Gao as mentioned in this paper constructed a spherical Kadomtsev-Petviashvili equation for the dust-ion-acoustic waves with zenith-angle perturbation in a cosmic dusty plasma, and symbolically obtained and discussed spherical structures of the expanding dark, shrinking dark, expanding bright and shrinking bright nebulons.

TL;DR: In this article, a nonlinear finite-time Lyapunov exponent (FTLE) is defined, which is a generalization to the existing local or finite time LLE exponents.

TL;DR: In this paper, a unified linear matrix inequality (LMI) approach is developed to establish sufficient conditions for a class of discrete-time recurrent neural networks (DRNNs) to be globally exponentially stable.

TL;DR: In this article, the analysis problem for the existence and stability of periodic solutions is investigated for a class of general discrete-time recurrent neural networks with time-varying delays, and several sufficient conditions are established to ensure the existence, uniqueness and globally exponential stability of the periodic solution for the addressed neural network.