Showing papers in "Physics Letters A in 2000"

TL;DR: In this article, an extended tanh-function method is proposed for constructing multiple travelling wave solutions of nonlinear partial differential equations (PDEs) in a unified way, and the key idea of this method is to take full advantage of a Riccati equation involving a parameter and use its solutions to replace the tanh function.

TL;DR: In this article, a new extension of a fractality concept in quantum physics has been developed and path integrals over the Levy paths are defined and fractional quantum and statistical mechanics have been developed via new fractional path integral approach.

TL;DR: In this paper, the authors analyzed and compared the mathematical formulations of the criterion for separability for bipartite density matrices and the Bell inequalities and showed that a violation of a Bell inequality can formally be expressed as a witness for entanglement.

TL;DR: In this paper, a chaotic electrical circuit using only resistors, capacitors, diodes, and inverting operational amplifiers is proposed, which is a new class of chaotic electrical circuits.

TL;DR: In this article, the dynamical behavior of these giant waves is addressed as solutions of the nonlinear Schrodinger equation in both 1+1 and 2+1 dimensions, and analytical results for 1 + 1 dimensions are discussed and numerically demonstrated for certain sets of initial conditions.

TL;DR: It is shown that the introduction of entangled strategies leads to a unique solution of the Battle of the Sexes game.

TL;DR: In this paper, the dispersion relations of the surface polaritons of a semi-infinite dispersive medium, which is left-handed (having negative permittivity and permeability) over a frequency range, are obtained.

TL;DR: In this article, the authors presented some new experimental results and the quantitative model describing large magneto-strain effect and main mechanical and magnetic properties observed in several ferromagnetic shape-memory alloys.

TL;DR: In this paper, the exact solvability of the Schroedinger equation was discussed, and it was shown that operators with linear dependence on the momentum are non-ambiguous.

TL;DR: In this article, the Nizhnik-Novikov-Veselov (NNV) equation is used to obtain exact solutions of high-dimensional nonlinear physical models.

TL;DR: In this paper, the homogeneous balance method is extended to search for Backlund transformation and similarity reduction of nonlinear partial differential equations, and it is shown that there exist close connections among the homogenous balance method, WTC method and CK direct reduction method.

TL;DR: In this article, a general data-driven method for formulating suitable model equations for nonlinear complex systems is presented, validated in a quantitative way by its application to experimentally found data of a chaotic electric circuit.

TL;DR: A noisy transient Lorenz system is studied, to demonstrate how to identify a true bifurcation sequence, to interpret false b ifurcation points, and to choose the embedding dimension.

TL;DR: In this article, it was shown that the solitary wave of a model for nonlinear dispersive waves in cylindrical compressible hyperelastic rods is orbitally stable, and that the shape of the wave is stable.

TL;DR: The Shannon-Khinchin axioms for the ordinary information entropy are generalized in a natural way to theNonextensive systems based on the concept of nonextensive conditional entropy and a complete proof of the uniqueness theorem for the Tsallis entropy is presented.

TL;DR: In this paper, the powerful group theoretical formalism of potential algebras is extended to non-Hermitian Hamiltonians with real eigenvalues by complexifying so(2,1) and A1.

TL;DR: In this article, a pure state of four qubits whose single-qubit density matrices are all maximally mixed and whose average entanglement as a system of two pairs of qubits appears to be maximal is described.

TL;DR: In this article, two different probabilistic teleportations of a two-particle entangled state by pure entangled threeparticle state are shown, and their successful probabilities are different.

TL;DR: In this article, the quasi-exactly solvable eigenvalues of the Schrodinger equation for the PT-invariant potential V ( x ) =−( ζ cosh2 x − iM ) 2 are complex conjugate pairs in case the parameter M is an even integer while they are real in case M is a odd integer.

TL;DR: In this paper, the evolution of a quantum system undergoing very frequent measurements takes place in a proper subspace of the total Hilbert space (quantum Zeno effect), and dynamical properties of this evolution are investigated and several examples are considered.

TL;DR: In this article, the authors discuss the pivotal role played by nonlinear dispersion in shaping novel, compact and noncompact patterns, and show how compacton supporting equations may be cast into a strong formulation wherein one avoids dealing with weak solutions.

TL;DR: In this article, the Hilbert-Schmidt distance does not have the property that the distance is nonincreasing under every completely positive trace-preserving map, contrary to a recent claim.

TL;DR: In this paper, a scheme of teleporting a two-particle entangled state is proposed, where two pairs of entangled particles are used as quantum channel and the probability of successful teleportation is determined only by the smallest superposition coefficient.

TL;DR: In this article, the authors discuss the behavior of DKP field and its physical components under gauge transformations and show that these problems simply do not exist if one correctly analyses the physical components of the field.

TL;DR: In this article, the global exponential stability and the periodic oscillation of a class of delayed cellular neural networks (DCNNs) are investigated and sufficient conditions are given to design globally exponentially stable DCNNs and periodic oscillatory DNNs.

TL;DR: In this paper, two basic Darboux transformations of a spectral problem associated with a classical Boussinesq system are considered, and they are used to generate new solutions of the classical BS system.

TL;DR: In this paper, a gravitationally induced modification to de Broglie wave-particle duality is presented, and a conclusion is drawn that in a complete theory of quantum gravity the notions of ''quantum'' and ''gravity'' shall carry new meanings, meanings that are yet to be deciphered from theory and observations in their entirety.

TL;DR: In this paper, it was shown that the corresponding Hamiltonians possess a higher order shape invariance which is equivalent to the ladder equation, and the irreducible second order Darboux transformations which together with the first order act as building blocks.

TL;DR: In this paper, the authors analyzed further problems of global exponential stability and the existence of periodic solutions of cellular neural networks with delays (DCNNs) by applying some new analysis techniques and constructing suitable Lyapunov functionals.

TL;DR: In this paper, Braginsky and Vyatchanin showed that thermal expansion coefficient in mirrors of gravitational wave antennae can be transformed into additional noise not only through thermal expansion coefficients but also through temperature dependence of refraction index.