中国物理B ›› 2008, Vol. 17 ›› Issue (12): 4614-4618.doi: 10.1088/1674-1056/17/12/046

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

田强1, 徐权2   

  1. (1)Department of Physics, Beijing Normal University, Beijing 100875, China; (2)Department of Physics, Daqing Normal University, Daqing 163712, China;Department of Physics, Beijing Normal University, Beijing 100875, China
  • 收稿日期:2008-03-12 修回日期:2008-05-23 出版日期:2008-12-20 发布日期:2008-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10574011) and Natural Science Foundation of Heilongjiang Province, China (Grant No A200506).

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

Xu Quan (徐权)ab,  Tian Qiang (田强)b   

  1. a Department of Physics, Daqing Normal University, Daqing 163712, China; b Department of Physics, Beijing Normal University, Beijing 100875, China
  • Received:2008-03-12 Revised:2008-05-23 Online:2008-12-20 Published:2008-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10574011) and Natural Science Foundation of Heilongjiang Province, China (Grant No A200506).

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摘要： This paper studies a discrete one-dimensional monatomic Klein--Gordon chain with only quartic nearest-neighbor 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

Abstract: This paper studies a discrete one-dimensional monatomic Klein--Gordon chain with only quartic nearest-neighbor 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 ($\beta$) of quartic on-site potential and the coupling constant (K4) of quartic interactive potential satisfy the given conditions, they are linearly stable.

Key words: compact-like discrete breather, Klein--Gordon chain, linear stability

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
02.30.Jr (Partial differential equations)