Phys. Rev. E 55, 6141-6150 (May 1997)
Recent papers
Sci. Rep. 6, 20599 (Feb 2016)
Proc. of ICTON, Th.A1.6 (Jul 2015)
SPIE Newsroom (Jun 2015)
Proc. of SPIE 9516, 951602 (May 2015)
Effects of nonlocal dispersive interactions on self-trapping excitations
Y. B. Gaididei, S. F. Mingaleev, P. L. Christiansen, and K. O. Rasmussen,
Phys. Rev. E 55, 6141-6150 (1997).
[Full-text PDF (234 Kb)] [Online]
Abstract: A one-dimensional discrete nonlinear Schrodinger (NLS) model with the power dependence r^{-s} on the distance r of the dispersive interactions is proposed. The stationary states \psi_n of the system are studied both analytically and numerically. Two types of stationary states are investigated: on-site and intersite states. It is shown that for s sufficiently large all features of the model are qualitatively the same as in the NLS model with a nearest-neighbor interaction. For s less than some critical value s_{cr}, there is an interval of bistability where two stable stationary states exist at each excitation number N = \sum_n |\psi_n|^2. For cubic nonlinearity the bistability of on-site solitons may occur for dipole-dipole dispersive interaction (s = 3), while s_{cr} for intersite solitons is close to 2.1. For increasing degree of nonlinearity sigma, s_{cr} increases. The long-distance behavior of the intrinsically localized states depends on s. For s>3 their tails are exponential, while for 2

Copyright © by the respective publisher. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the publisher.

  © Sergei Mingaleev