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- W2034080239 abstract "Exact anharmonic-localized-mode solutions to the discrete nonlinear Schrodinger (NLS) equation defined in a d -dimensional version of the simple cubic lattice are obtained in terms of lattice Green's functions described by the ordinary and modified Bessel functions. A stationary or nonmoving localized mode is shown to be stable, while a moving one disperses, the rate of dispersing being smaller for a smaller moving velocity. For (d{geqslant}3) there exists a critical value of the lattice nonlinearity for the appearance of such a localized mode, and its spatial localization becomes pronounced as d increases. For d =1 the solution reduces in the continuum limit to the conventional one-soliton solution of the NLS equation. A very brief study is also made on the two-localized-mode problem." @default.
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- W2034080239 date "1989-03-15" @default.
- W2034080239 modified "2023-09-23" @default.
- W2034080239 title "Exact Anharmonic-Localized-Mode Solutions to thed-Dimensional Discrete Nonlinear Schrödinger Equation" @default.
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- W2034080239 doi "https://doi.org/10.1143/jpsj.58.759" @default.
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