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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 |
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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.
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Received: 20 May 2009
Accepted manuscript online:
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PACS:
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31.10.+z
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(Theory of electronic structure, electronic transitions, and chemical binding)
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31.15.-p
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(Calculations and mathematical techniques in atomic and molecular physics)
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Fund: 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. |
Cite this article:
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 2010 Chin. Phys. B 19 066301
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