中国物理B ›› 2009, Vol. 18 ›› Issue (1): 259-268.doi: 10.1088/1674-1056/18/1/042

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On some classes of two-dimensional local models in discrete two-dimensional monatomic FPU lattice with cubic and quartic potential

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:2008-03-29 修回日期:2008-06-23 出版日期:2009-01-20 发布日期:2009-01-20
  • 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).

On some classes of two-dimensional local models in discrete two-dimensional monatomic FPU lattice with cubic and quartic potential

Xu Quan(徐权)a)b)† and 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:2008-03-29 Revised:2008-06-23 Online:2009-01-20 Published:2009-01-20
  • 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 discusses the two-dimensional discrete monatomic Fermi--Pasta--Ulam lattice, by using the method of multiple-scale and the quasi-discreteness approach. By taking into account the interaction between the atoms in the lattice and their nearest neighbours, it obtains some classes of two-dimensional local models as follows: two-dimensional bright and dark discrete soliton trains, two-dimensional bright and dark line discrete breathers, and two-dimensional bright and dark discrete breather.

关键词: two-dimensional bright and dark discrete soliton trains, two-dimensional bright and dark discrete breathers, two-dimensional bright and dark line discrete breathers

Abstract: This paper discusses the two-dimensional discrete monatomic Fermi--Pasta--Ulam lattice, by using the method of multiple-scale and the quasi-discreteness approach. By taking into account the interaction between the atoms in the lattice and their nearest neighbours, it obtains some classes of two-dimensional local models as follows: two-dimensional bright and dark discrete soliton trains, two-dimensional bright and dark line discrete breathers, and two-dimensional bright and dark discrete breather.

Key words: two-dimensional bright and dark discrete soliton trains, two-dimensional bright and dark discrete breathers, two-dimensional bright and dark line discrete breathers

中图分类号:  (Lattice theory and statistics)

  • 05.50.+q
05.45.Yv (Solitons)