中国物理B ›› 2007, Vol. 16 ›› Issue (1): 223-227.doi: 10.1088/1009-1963/16/1/038

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Evolution of soliton-like train in Klein--Gordon lattice system

夏庆林, 易健宏, 彭元东, 叶途明, 李丽娅, 王红忠   

  1. School of Physics Science and Technology and State Key Laboratory for Powder Metallurgy,Central South University,Changsha 410083, China
  • 收稿日期:2005-12-08 修回日期:2006-06-05 出版日期:2007-02-01 发布日期:2007-02-01
  • 基金资助:
    Project supported by the Natural Science Foundation of Hunan Province, China (Grant Nos 04JJ3078 and 04JJ6029).

Evolution of soliton-like train in Klein--Gordon lattice system

Xia Qing-Lin(夏庆林)†, Yi Jian-Hong(易健宏), Peng Yuan-Dong(彭元东), Ye Tu-Ming(叶途明), Li Li-Ya(李丽娅), and Wang Hong-Zhong(王红忠)   

  1. School of Physics Science and Technology and State Key Laboratory for Powder Metallurgy, Central South University, Changsha 410083, China
  • Received:2005-12-08 Revised:2006-06-05 Online:2007-02-01 Published:2007-02-01
  • Supported by:
    Project supported by the Natural Science Foundation of Hunan Province, China (Grant Nos 04JJ3078 and 04JJ6029).

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摘要： This paper studies the evolution of wave in the system of a pure anharmonic lattice with a double well on-site potential by numerical calculation. It finds that an initial distribution of static or moving wave can evolve into two travelling soliton-like trains with contrary directions and a region of oscillation in this lattice system. It presents that some cases with cosine-square-shape and Gaussian-shape initial distribution of static or moving wave will produce ordered soliton-like train. Careful numerical observation shows that the centre oscillation region in this system may act as a resource of generating soliton-like train.

关键词: Klein--Gordon lattice system, soliton-like train, numerical calculation

Abstract: This paper studies the evolution of wave in the system of a pure anharmonic lattice with a double well on-site potential by numerical calculation. It finds that an initial distribution of static or moving wave can evolve into two travelling soliton-like trains with contrary directions and a region of oscillation in this lattice system. It presents that some cases with cosine-square-shape and Gaussian-shape initial distribution of static or moving wave will produce ordered soliton-like train. Careful numerical observation shows that the centre oscillation region in this system may act as a resource of generating soliton-like train.

Key words: Klein--Gordon lattice system, soliton-like train, numerical calculation

中图分类号:  (Solitons)

  • 05.45.Yv
05.50.+q (Lattice theory and statistics)