Compact-like discrete breather and its stability in a discrete monatomic Klein-Gordon chain  

Compact-like discrete breather and its stability in a discrete monatomic Klein-Gordon chain

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作  者:徐权 田强 

机构地区:[1]Department of Physics, Daqing Normal University [2]Department of Physics, Beijing Normal University

出  处:《Chinese Physics B》2008年第12期4614-4618,共5页中国物理B(英文版)

基  金:Project supported by the National Natural Science Foundation of China (Grant No 10574011);Natural Science Foundation of Heilongjiang Province, China (Grant No A200506)

摘  要:This paper studies a discrete one-dimensional monatomic Klein Gordon chain with only quartic nearest-neighbour interactions, in which the compact-like discrete breathers can be explicitly constructed by an exact separation of their time and space dependence. Introducing the trying method, it proves that compact-like discrete breathers exist in this nonlinear system. It also discusses the linear stability of the compact-like discrete breathers, when the coefficient (β) of quartic on-site potential and the coupling constant (K4) of quartic interactive potential satisfy the given conditions, they are linearly stable.This paper studies a discrete one-dimensional monatomic Klein Gordon chain with only quartic nearest-neighbour interactions, in which the compact-like discrete breathers can be explicitly constructed by an exact separation of their time and space dependence. Introducing the trying method, it proves that compact-like discrete breathers exist in this nonlinear system. It also discusses the linear stability of the compact-like discrete breathers, when the coefficient (β) of quartic on-site potential and the coupling constant (K4) of quartic interactive potential satisfy the given conditions, they are linearly stable.

关 键 词:compact-like discrete breather Klein Gordon chain linear stability 

分 类 号:O469[理学—凝聚态物理]

 

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