中国物理B ›› 2005, Vol. 14 ›› Issue (3): 571-575.doi: 10.1088/1009-1963/14/3/026

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Propagation and collision of compacton-like kinks in Klein—Gordon lattice system

夏庆林1, 李丽娅1, 彭元东1, 易健宏2   

  1. (1)School of Physics Science and Technology and State Key Laboratory for Powder Metallurgy, Central South University, Changsha 410083, China; (2)School of Physics Science and Technology and State Key Laboratory for Powder Metallurgy, Central South University, Changsha 410083, China; Department of Materials, Oxford University, Parks Road, Oxford QXI 3PH, UK
  • 收稿日期:2004-08-04 修回日期:2004-09-27 出版日期:2005-03-02 发布日期:2005-03-02
  • 基金资助:
    Project supported by the Nature Science Foundation of Hunan Province (Grant No 02JJY2079) and the Youth Foundation of School of Physics Science and Technology of Central South University.

Propagation and collision of compacton-like kinks in Klein—Gordon lattice system

Xia Qing-Lin (夏庆林)a, Yi Jian-Hong (易健宏)ab, Li Li-Ya (李丽娅)a, Peng Yuan-Dong (彭元东)a   

  1. a School of Physics Science and Technology and State Key Laboratory for Powder Metallurgy, Central South University, Changsha 410083, China; b Department of Materials, Oxford University, Parks Road, Oxford QXI 3PH, UK
  • Received:2004-08-04 Revised:2004-09-27 Online:2005-03-02 Published:2005-03-02
  • Supported by:
    Project supported by the Nature Science Foundation of Hunan Province (Grant No 02JJY2079) and the Youth Foundation of School of Physics Science and Technology of Central South University.

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摘要： We study the propagation and collision of the compacton-like kinks in the system of an anharmonic lattice with a double well on-site potential by a direct algebraic method and numerical experiments. It is found that the localization of the compacton-like kinks is related to the nonlinear coupling parameter Cnl and the potential barrier height V0 of the double well potential. The velocity of the propagation of the compacton-like kinks is determined by the linear coupling parameter Cl, the nonlinear coupling parameter Cnl and the localization parameter q. Numerical experiments demonstrate that appropriate Cl is not detrimental to a stable propagation of the compacton-like kinks. However, the collision of compacton-like kinks and anti-kinks in the lattice with comparatively small Cl leads to the emergence of a discrete stationary breather and small amplitude nonlinear oscillation background, while moderate Cl results in the emergence of two deformed kinks with radiating oscillations and lower propagation velocities.

关键词: Klein—Gordon lattice, compacton-like kink, propagation, collision

Abstract: We study the propagation and collision of the compacton-like kinks in the system of an anharmonic lattice with a double well on-site potential by a direct algebraic method and numerical experiments. It is found that the localization of the compacton-like kinks is related to the nonlinear coupling parameter Cnl and the potential barrier height V0 of the double well potential. The velocity of the propagation of the compacton-like kinks is determined by the linear coupling parameter Cl , the nonlinear coupling parameter Cnl and the localization parameter q. Numerical experiments demonstrate that appropriate Cl  is not detrimental to a stable propagation of the compacton-like kinks. However, the collision of compacton-like kinks and anti-kinks in the lattice with comparatively small Cl leads to the emergence of a discrete stationary breather and small amplitude nonlinear oscillation background, while moderate Cl results in the emergence of two deformed kinks with radiating oscillations and lower propagation velocities.

Key words: Klein—Gordon lattice, compacton-like kink, propagation, collision

中图分类号:  (Anharmonic lattice modes)

  • 63.20.Ry
63.20.Pw (Localized modes)