The effects of cubic potentials on discrete breathers in a mixed Klein－Gordon /Fermi－Pasta－Ulam chain

doi:10.1088/1674-1056/19/6/066301

中国物理B ›› 2010, Vol. 19 ›› Issue (6): 66301-066301.doi: 10.1088/1674-1056/19/6/066301

The effects of cubic potentials on discrete breathers in a mixed Klein－Gordon /Fermi－Pasta－Ulam chain

周倩, 吕彬彬, 田强

Department of Physics, Beijing Normal University, Beijing 100875, China

收稿日期:2009-05-20 出版日期:2010-06-15 发布日期:2010-06-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.~10574011) and the Foundation for Innovative Research Groups Foundation of Beijing Normal University.

The effects of cubic potentials on discrete breathers in a mixed Klein－Gordon /Fermi－Pasta－Ulam chain

Zhou Qian(周倩)^†, LÜ Bin-Bin(吕彬彬), and Tian Qiang(田强)

Department of Physics, Beijing Normal University, Beijing 100875, China

Received:2009-05-20 Online:2010-06-15 Published:2010-06-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.~10574011) and the Foundation for Innovative Research Groups Foundation of Beijing Normal University.

摘要/Abstract

摘要： Nonlinearity has a crucial impact on the symmetry properties of dynamical systems. This paper studies a one-dimensional mixed Klein--Gordon/Fermi--Pasta--Ulam diatomic chain using the expanded rotating plane-wave approximation and numerical calculations to determine the effect of cubic potentials on the symmetry properties of discrete breathers in this system. The results will be very useful to researchers in the field of numerical calculations on discrete breathers.

Abstract: Nonlinearity has a crucial impact on the symmetry properties of dynamical systems. This paper studies a one-dimensional mixed Klein--Gordon/Fermi--Pasta--Ulam diatomic chain using the expanded rotating plane-wave approximation and numerical calculations to determine the effect of cubic potentials on the symmetry properties of discrete breathers in this system. The results will be very useful to researchers in the field of numerical calculations on discrete breathers.

Key words: one-dimensional mixed Klein--Gordon/Fermi--Pasta--Ulam diatomic chain, discrete breathers, expanded rotating plane wave approximation, symmetry

中图分类号: (Theory of electronic structure, electronic transitions, and chemical binding)

31.10.+z

31.15.-p (Calculations and mathematical techniques in atomic and molecular physics)

周倩, 吕彬彬, 田强. The effects of cubic potentials on discrete breathers in a mixed Klein－Gordon /Fermi－Pasta－Ulam chain[J]. 中国物理B, 2010, 19(6): 66301-066301.

Zhou Qian(周倩), LÜ Bin-Bin(吕彬彬), and Tian Qiang(田强). The effects of cubic potentials on discrete breathers in a mixed Klein－Gordon /Fermi－Pasta－Ulam chain[J]. Chin. Phys. B, 2010, 19(6): 66301-066301.

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The effects of cubic potentials on discrete breathers in a mixed Klein－Gordon /Fermi－Pasta－Ulam chain

The effects of cubic potentials on discrete breathers in a mixed Klein－Gordon /Fermi－Pasta－Ulam chain

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