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Chinese Science Bulletin

, Volume 50, Issue 1, pp 5–10 | Cite as

The characters of nonlinear vibration in the two-dimensional discrete monoatomic lattice

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Abstract

The two-dimensional discrete monoatomic lattice is analyzed. Taking nearest-neighbor interaction into account, the characters of the nonlinear vibration in two-dimensional discrete monoatomic lattice are described by the two-dimensional cubic nonlinear Schrodinger equation. Considering the quartic nonlinear potential, the two-dimensional discrete-soliton trains and the solutions perturbed by the neck mode are presented.

Keywords

multiple-scale method two-dimensional nonlinear lattice two-dimensional discrete-soliton trains the solutions perturbed by the neck mode 

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Copyright information

© Science in China Press 2005

Authors and Affiliations

  1. 1.Scientific and Technological OfficeDaqing Teachers CollegeDaqingChina
  2. 2.Department of PhysicsBeijing Normal UniversityBeijingChina

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