

Effects of nonlocal dispersive interactions on selftrapping excitations
Y. B. Gaididei, S. F. Mingaleev, P. L. Christiansen, and K. O. Rasmussen,
Phys. Rev. E 55, 61416150 (1997).
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Abstract: A onedimensional 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: onsite 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 nearestneighbor 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 onsite solitons may occur for dipoledipole 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 longdistance behavior of the intrinsically localized states depends on s. For s>3 their tails are exponential, while for 2
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