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• W1982197235 abstract "A one-dimensional discrete nonlinear Schrodinger (NLS) model with the power dependence ${mathrm{r}}^{mathrm{ensuremath{-}}mathrm{s}}$ on the distance r of the dispersive interactions is proposed. The stationary states ${mathrm{ensuremath{psi}}}_{mathrm{n}}$ 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 ${mathrm{s}}_{mathrm{cr}}$, there is an interval of bistability where two stable stationary states exist at each excitation number N=${ensuremath{sum}}_{mathrm{n}}$|${mathrm{ensuremath{psi}}}_{mathrm{n}}$${mathrm{|}}^{2}$. For cubic nonlinearity the bistability of on-site solitons may occur for dipole-dipole dispersive interaction (s=3), while ${mathrm{s}}_{mathrm{cr}}$ for intersite solitons is close to 2.1. For increasing degree of nonlinearity ensuremath{sigma}, ${mathrm{s}}_{mathrm{cr}}$ increases. The long-distance behavior of the intrinsically localized states depends on s. For s>3 their tails are exponential, while for 23 they are algebraic. In the continuum limit the model is described by a nonlocal NLS equation for which the stability criterion for the ground state is shown to be s+1." @default.
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• W1982197235 date "1997-05-01" @default.
• W1982197235 modified "2023-10-16" @default.
• W1982197235 title "Effects of nonlocal dispersive interactions on self-trapping excitations" @default.
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• W1982197235 doi "https://doi.org/10.1103/physreve.55.6141" @default.
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