Showing papers in "Physics Letters A in 2009"

TL;DR: In this article, a hierarchy of rational solutions of the nonlinear Schrodinger equation (NLSE) with increasing order and with progressively increasing amplitude is presented. And the authors apply the WANDT title to two objects: rogue waves in the ocean and rational solution of the NLSE.

TL;DR: A novel approach for analysing time series using complex network theory is proposed and the potential of these complex network measures for the detection of dynamical transitions is illustrated by using the logistic map.

TL;DR: In this article, a plane wave is modulated by relatively weak random waves, and it is shown that the peaks with highest amplitude of the resulting wave composition can be described in terms of exact solutions of the focusing nonlinear Schrrodinger equation in the form of the collision of Akhmediev breathers.

TL;DR: In this paper, a one-dimensional acoustic metamaterial with negative effective density using an array of very thin elastic membranes was fabricated, and the authors reported direct observation of negative acceleration in this acoustic medium below 735 Hz.

TL;DR: In this article, the vibration analysis of multilayered graphene sheets embedded in polymer matrix has been carried out employing nonlocal continuum mechanics and governing equations have been derived using the principle of virtual work.

TL;DR: In this paper, the exponential stochastic synchronization problem for coupled neural networks with noise perturbations was studied and several sufficient conditions were obtained to ensure exponential synchronization with or without coupling delays.

TL;DR: In this paper, higher order shear deformation theory (HSDT) is reformulated using nonlocal differential constitutive relations of Eringen and the equations of motion of the nonlocal theories are derived.

TL;DR: In this article, the effect of various perturbations on the fundamental rational solution of the nonlinear Schrodinger equation (NLSE) was studied, and it was shown that the rational solution remains rational and localized in each direction, thus representing a modified rogue wave.

TL;DR: It is demonstrated that the noise-induced transmission of weak localized rhythmic activity peaks when the pacemaker frequency matches the intrinsic frequency of subthreshold oscillations, which is important for weak signal detection and information propagation across neural networks.

TL;DR: In this article, an improved approximation scheme to deal with the pseudo-centrifugal term was employed to solve the Dirac equation with the generalized Poschl-Teller potential for the arbitrary spinorbit quantum number.

TL;DR: In this paper, the effect of the size of the lens-shaped quantum dot and optical intensity on the absorption coefficient and the refractive indices was investigated, and it was found that AC and RI are strongly affected by the optical intensity and the size.

TL;DR: In this article, the consensus problem via distributed nonlinear protocols for directed networks is investigated and its dynamical behaviors are described by ordinary differential equations (ODEs) based on graph theory, matrix theory and the Lyapunov direct method.

TL;DR: The resultant ZNN model is theoretically proved to have global exponential convergence to the time- varying theoretical optimal solution of the investigated time-varying convex quadratic program.

TL;DR: This work proposes entropy functions based on fractional calculus that has the same properties than the Shannon entropy except additivity and shows that this entropy function satisfies the Lesche and thermodynamic stability criteria.

TL;DR: In this paper, the mechanical behavior of graphene nanoribbons (GNRs) was investigated by molecular dynamics simulations and it was shown that GNRs behave nonlinear elastically under tensile loads.

TL;DR: In this paper, the straightness ratio, aspect ratio, and aggregation have collective influence on the thermal conductivity of CNT nanofluids, and the effect of these factors was analyzed.

TL;DR: By applying chosen-plaintext and known-plain text attacks, it is shown that all the secret parameters of the chaos-based image encryption algorithm can be revealed.

TL;DR: In this article, it was shown that the Dirac equation with scalar and vector quadratic potentials and a Coulomb-like tensor potential can be solved exactly and bound state solutions for equal vector and scalar potentials are obtained.

TL;DR: In this article, a robust state estimation problem for uncertain time-delay Markovian jumping genetic regulatory networks (GRNs) with SUM logic is considered, where the uncertainties enter into both the network parameters and the mode transition rate.

TL;DR: In this article, the propagation of soliton pulses in an inhomogeneous media that is described by a K (m, n ) equation with t-dependent coefficients is studied.

TL;DR: In this article, the shape invariant and isospectral potentials in the position dependent mass background are generated whose bound states are given in terms of Laguerre- or Jacobi-type X 1 exceptional orthogonal polynomials.

TL;DR: In this paper, the integration of the generalized Radhakrishnan, Kundu, Lakshmanan equation to obtain the 1-soliton solution was carried out using the solitary wave ansatz.

TL;DR: The numerical results show that the new car-following model can describe some qualitative properties of the heterogeneous traffic flow consisting of bus and car, which verifies that the model is reasonable.

TL;DR: In this article, the degree distribution of the visibility graph is mainly determined by the temporal correlation of the original time series with minor influence from the possible multifractal nature, and the degree distributions have power-law tails where the tail exponents of visibility graphs and the Hurst indexes of the indexes are close to the α ∼ H linear relationship.

TL;DR: In this paper, it was shown that such type of deformed quantum mechanical systems may be treated in a similar framework as quasi/pseudo and/or PT-symmetric systems, which have recently attracted much attention.

TL;DR: In this paper, the global synchronization of the complex networks with non-delayed and delayed coupling based on the pinning controllers is investigated, without assuming the symmetry of the coupling matrix, and sufficient conditions for global synchronization by adding linear and adaptive feedback controllers to a part of nodes are obtained.

TL;DR: In this article, a novel three-dimensional autonomous chaotic system is proposed, which can generate two, three and four-scroll chaotic attractors with variation of a single parameter, and the obtained results clearly show that this is a new chaotic system which deserves further detailed investigation.

TL;DR: In this article, the spectral properties of the superoperator associated with a given quantum map are investigated, and a quantum analogue of the Frobenius-Perron theorem is proved.

TL;DR: In this paper, the dynamics of dark optical solitons governed by the nonlinear Schrodinger's equation with power law nonlinearity with time-dependent coefficients are discussed.

TL;DR: In this paper, the stability conditions of fractional order hyperchaotic systems were derived based on the Routh-Hurwitz conditions and the conditions for controlling hyperchaos via feedback control were obtained.