Exact Anharmonic-Localized-Mode Solutions to the α-Dimensional Discrete Nonlinear Schrodinger Equation

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概要

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• Exact anharmonic-localized-mode solutions to the discrete nonlinear Schr6dinger(NLS) equation defined in a V-dimensional version of the simjtle cubic lattice are ob-tained in terms of lattice Green's functions descrilved by the ordinary and modifiedBessel functions. A stationary or nonmoving localized mode is shown to be stable,while a moving one disperses, the ratc of dispersing being smaller for a smaller mov-ing velocity. For d >3 there exists a critical value of the lattice ntonlinearity for the ap-pearance of such a localized mode, and its spatial localization becomes pronouncedas dincreases. For d= 1 the solution reduces in the continuurn limit to the conven-tional one-soliton solution of the NLS equation. Ax very brief study is also made onthe two-localized-mode problem.[d-dimensional discrete NLS equation, intrinsic localized modes, critical lattice ]j anharmonicity, space dimensionality, solitons[

• 社団法人日本物理学会の論文
• 1989-03-15

著者

• Takeno Shozo

  Physics Laboratory Faculty Of Engineering And Desigh Kyoto Institute Of Technology

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