Band-Theoretical Interpretation of Stationary Localizad Modes in Pure Nonlinear Lattices-Ubiquity of Existence and Similarity to Force-Constant-Defect Modes-

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概要

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• A lattice Green's function theory is formulated to give a band-theoretical interpretation ofstationary nonlinear localized modes (SNLIVI) in pure nonlinear lattices. In one-dirnensionallattices and in its simplest form in higher-dimensional cases, the theory yields the eigenfrequencyc; of the SNLM in terms of the frequency c;c) ((7) (q is the wave vector) of the corresponding linearlattice in the form c; : ;g(qg f iA), where qg is an edge point of the Brillouin zone of cug(q),and K E K (A) is a parameter depending on the localized mode amplitude A. Such a result andmore general ones involving lattice Green's functions lead to the ubiquity of the existence of theSNLM irrespective of the lattice dimensionality as approximate nonlinear modes in nonintegablelattices and its similarity to force-constant defect modes. Stationary solitons in the Ablowitz-Ladik lattice can be considered as an example of the SNLM in integrable lattices.

• 社団法人日本物理学会の論文
• 1996-12-15

著者

• Takeno Shozo

  Division Of Physics Faculty Of Engineering Gunma University

関連論文

• Band-Theoretical Interpretation of Stationary Localizad Modes in Pure Nonlinear Lattices-Ubiquity of Existence and Similarity to Force-Constant-Defect Modes-

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