Discrete breathers in two-dimensional nonlinear lattices

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• 作者：Bao-Feng Feng ; Takuji Kawahara
• 关键词：Fermi-Pasta-Ulam lattice ; Two- and three-dimensional lattices ; Discrete breather ; Chaotic breather ; Vortex-breather ; Discrete nonlinear Schrö ; dinger equation ; Quasi-continuum approximation ; Regularized model equation
• 刊名：Wave Motion
• 出版年：2007
• 出版时间：November 2007
• 年：2007
• 卷：45
• 期：1-2
• 页码：68-82
• 全文大小：453 K

文摘

Properties of discrete breathers in two- and three-dimensional nonlinear lattice models are discussed with special emphasis on possible structures of localization in two-dimensional case. In contrast to the extensive studies addressing the various features of discrete breathers in one-dimensional lattices, less studies have been done in regard to the higher dimensional breathers. To begin with a brief survey of existing results for discrete breathers in higher dimensional lattices, we attempt to look into the possible structures of higher dimensional breathers. Based on the survey, we address the following topics concerning the discrete breathers in two-dimensional lattices: types of localized structures; chaotic breathers; quasi-continuum approximation; discrete breathers versus solitons in continuum.