Exact Anharmonic-Localized-Mode Solutions to the d-Dimentional Discrete Nonlinear Klein-Gordon Equation
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概要
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Exact anharmonic-localized-mode solutions to the discrete nonlinear Klein-Gordon (NKG) equation defined in a V-dimensional version of the simple cubic lattice areo btained by using the lattice (ireen's function method. For d ) 3 there exists a criticalvalue of the lattice anharmonicity for the appearance of the localized modes. An ex-act expression for the dispersion relation of a moving localized mode constituting afrequency band is obtained in terms of its shape functions. A comparison is made onthe properties of moving and stationary or non-moving localized modes of the NKGequation with those of the #-dimensional discrete nonlinear Schr6dinger equation.For d = 1 one-localized-mode solution reduces in the continuum limit to the conven-tional one-soliton solution of the NKG equation.[#-dimensional discrete NKG equation, intrinsic anharmonic localized modes, ]l critical lattice anharmonicity, space dimensionality, solitoxasl
- 社団法人日本物理学会の論文
- 1989-11-15
著者
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Takeno Shozo
Physics Laboratory Faculty Of Engineering And Desigh Kyoto Institute Of Technology
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Takeno Shozo
Physics Laboratory Department Of Electronics Faculty Of Engineering And Design Kyoto Institute Of Te
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