Showing papers in "Physics Letters A in 2001"

TL;DR: In this article, a Jacobi elliptic function expansion method was proposed to construct the exact periodic solutions of nonlinear wave equations, which includes some shock wave solutions and solitary wave solutions.

TL;DR: In this paper, the Jacobi elliptic functions are applied in Jacobi function expansion method to construct the exact periodic solutions of nonlinear wave equations and it is shown that more new periodic solutions can be obtained by this method and more shock wave solutions or solitary wave solution can be got at their limit condition.

TL;DR: In this paper, a qualitative physical picture describing fast convective radial plasma transport in tokamak scrape off layer is suggested based on the hypothesis of detachment of high density plasma blobs from the bulk plasma due to turbulence effects resulting in plasma stratification in the region around separatrix.

TL;DR: In this article, the authors proposed a new theoretical framework for generalizing ODE numerical integrators to Hamiltonian PDEs in R 2 : time plus one space dimension, where the structure of the PDE is decomposed into distinct components representing space and time independently, and the integrators can be constructed by concatenating uni-directional ODE symplectic integrators.

TL;DR: In this paper, the authors presented chaos synchronization of two identical Rossler and Chen systems by using active control, which was applied to achieve chaos synchronization for the two dynamical systems.

TL;DR: In this article, the discrete eigenvalues of the complex PT -invariant potential V(x)=(−V 1 sech x−iV 2 tanh x) sech X, V1>0, are shown to be only complex-conjugate pairs when |V2|>V1+1/4, and real otherwise.

TL;DR: Based upon the Riccati equation, a new generalized transformation is presented and applied to solve Whitham-Broer-Kaup (WBK) equation in shallow water as mentioned in this paper.

TL;DR: In this article, a more powerful method to seek exact travelling wave solutions of nonlinear partial differential equations is presented, which uses the good ideas of the extended-tanh function method and our previous method.

TL;DR: In this paper, an approximate analysis of parametric oscillatory instability in the Fabry-Perot (FP) interferometer is presented, based on the excitation of the additional (Stokes) optical mode with frequency ω 1 and of the mirror's elastic mode with Frequency ωm when the optical energy stored in the FP resonator main mode with ω 0 exceeds a certain threshold and the frequencies are related as ω0≃ω1+ωm.

TL;DR: In this paper, Wu et al. make use of an extended tanh-function method and symbolic computation to obtain respectively four kinds of soliton solutions for a new generalized Hirota-Satsuma coupled KdV equation and a new coupled MKdV equations.

TL;DR: In this paper, a composite Fermi-Bose superfluid can be created in cold-atom traps by employing a Feshbach resonance or coherent photoassociation, and it is shown that these oscillations will provide an experimental signature of the pairing.

TL;DR: The generalized zeroth law of thermodynamics indicates that the physical temperature in nonextensive statistical mechanics is different from the inverse of the Lagrange multiplier, β,.

TL;DR: In this article, the authors proposed to modify the principles of special relativity by taking dispersion relations such that the speed of light goes to infinity for finite momentum (but infinite energy), proposed in the framework of the quantum κ -Poincare symmetry.

TL;DR: The relationship between cryptography and chaos theory, and similarities of their crucial concepts such as mixing property and sensitivity to changes in initial conditions and parameters are discussed.

TL;DR: In this article, a modified Korteweg-de Vries (K-dV) equation is derived from the dust continuity and momentum equations, Poisson's equation as well as Boltzmann electrons and ions.

TL;DR: In this article, thermal entanglement in the two-qubit anisotropic XXZ model and the Heisenberg model with Dzyaloshinski-Moriya (DM) interactions is studied.

TL;DR: In this paper, the authors consider the Bose-Einstein condensate in a parabolic trap as a macroscopic quantum oscillator and describe its collective modes, a nonlinear generalisation of the Hermite-Gauss eigenmodes of a harmonic oscillator.

TL;DR: In this paper, necessary and sufficient conditions for separability of mixed states of n -particle systems are formulated in terms of maps which are positive on product states for n − 1 particles.

TL;DR: In this paper, a new class of modes, the Alfven cascades, excited by energetic ions, were observed in the JET tokamak, and measurements of these Alfven instabilities were used to solve the inverse problem of identifying the plasma parameters using the dependence of the AAF spectrum on equilibrium parameters.

TL;DR: In this paper, the authors analyzed the security and performance of two recently proposed encryption algorithms designed using deterministic chaotic dynamical systems and showed that they are not competitive to the encryption rates of the standard algorithms, and that the algorithms can be easily broken using known-plaintext attack.

TL;DR: In this paper, the generalized entropy of the Fokker-planck picture has been studied in the context of nonlinear particle kinetics and the H-theorem has been demonstrated.

TL;DR: In this article, it was shown that any two maximally entangled states can always be optimally discriminated locally, according to any figure of merit, in the sense of inconclusive discrimination.

TL;DR: In this paper, an efficient backstepping design is proposed for controlling Chen's chaotic attractor based on parameters identification and numerical simulation is provided to show the effectiveness and feasibility of the developed controller design method.

TL;DR: In this paper, the authors used recurrence quantification to evaluate epileptic EEG activity and found that both preictal and EEG segments free of seizure activity exhibit significant transients.

TL;DR: In this article, the consequences when a small group of mutants using quantum strategies try to invade a classical ESS in a population engaged in a symmetric bimatrix game of prisoner's dilemma are investigated.

TL;DR: In this article, the authors estimated long-range correlations in the dynamics of sway during prolonged human standing using detrended fluctuation analysis (DFA) and power spectral analysis.

TL;DR: This Letter points out why the original chaotic encryption scheme is so vulnerable to the proposed four attacks, and presents an improved encryption scheme to obtain higher security.

TL;DR: In this article, a PT symmetrically complexified square well is constructed non-numerically and all the bounded states prove real and continuous in the Hermitian limit Z→0.

TL;DR: In this paper, four pairs solutions of Whitham-Broer-Kaup (WBK) equations, which contain blow-up solutions and periodic solutions, are obtained by using of hyperbolic function method, Mathematica and Wu elimination method.

TL;DR: In this article, two-dimensional sections of a set of Bloch vectors corresponding to density matrices of two-qubit systems were studied, and the authors studied two dimensions of the sections of the set of vectors.