منابع مشابه
Nonlinear Stationary States in PT-Symmetric Lattices
In the present work we examine both the linear and nonlinear properties of two related parity-time (PT)-symmetric systems of the discrete nonlinear Schrödinger (dNLS) type. First, we examine the parameter range for which the finite PT-dNLS chains have real eigenvalues and PT-symmetric linear eigenstates. We develop a systematic way of analyzing the nonlinear stationary states with the implicit ...
متن کاملDiscrete PT −symmetric models of scattering
One-dimensional scattering mediated by non-Hermitian Hamiltonians is studied. A schematic set of models is used which simulate two point interactions at a variable strength and distance. The feasibility of the exact construction of the amplitudes is achieved via the discretization of the coordinate. By direct construction it is shown that in all our models the probability is conserved. This fea...
متن کاملPT - symmetric deformations of Calogero models
We demonstrate that Coxeter groups allow for complex PT -symmetric deformations across the boundaries of all Weyl chambers. We compute the explicit deformations for the A2 and G2-Coxeter group and apply these constructions to Calogero-MoserSutherland models invariant under the extended Coxeter groups. The eigenspecta for the deformed models are real and contain the spectra of the undeformed cas...
متن کاملTheoretical and Mathematical Physics Nonlinear Pt -symmetric Models Bearing Exact Solutions
H. XU1, P.G. KEVREKIDIS1,a, Q. ZHOU1, D.J. FRANTZESKAKIS2,*, V. ACHILLEOS2, R. CARRETERO-GONZÁLEZ3 1Department of Mathematics and Statistics, University of Massachusetts, Amherst MA 01003-4515, USA E-mail: [email protected] 2Department of Physics, University of Athens, Panepistimiopolis, Zografos, GR-15784 Athens, Greece E-mail∗: [email protected] (corresponding author) 3Nonlinear Dynamical ...
متن کاملComplex PT-symmetric nonlinear Schrödinger equation and Burgers equation.
The complex -symmetric nonlinear wave models have drawn much attention in recent years since the complex -symmetric extensions of the Korteweg-de Vries (KdV) equation were presented in 2007. In this review, we focus on the study of the complex -symmetric nonlinear Schrödinger equation and Burgers equation. First of all, we briefly introduce the basic property of complex symmetry. We then report...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2005
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.1843273