Existences and stabilities of bright and dark breathers in a general one-dimensional discrete monatomic Chain
Xu Quan(徐权)a)b), Tang Feng-Yun(汤凤云)b)c), and Tian Qiang(田强)b)†
aScientific and Technological Office, Daqing Normal University, Daqing 163712, China; b Department of Physics, Beijing Normal University, Beijing 100875, China; cDaqing 3th middle school, Daqing 163712, China
Abstract A general one-dimensional discrete monatomic model is investigated by using the multiple-method. It is proven that the discrete bright breathers (DBBs) and discrete dark breathers (DDBs) exist in this model at the anti-continuous limit, and then the concrete models of the DBBs and DDBs are also presented by the multiple-scale approach (MSA) and the quasi-discreteness approach (QDA). When the results are applied to some particular models, the same conclusions as those presented in corresponding references are achieved. In addition, we use the method of the linearization analysis to investigate this system without the high order terms of $\varepsilon$. It is found that the DBBs and DDBs are linearly stable only when coupling parameter $\chi$ is small, of which the limited value is obtained by using an analytical method.
Received: 25 April 2007
Revised: 29 October 2007
Accepted manuscript online:
Fund: Project supported by
the National Natural Science Foundation of China (Grant No 10574011)
and Natural Science Foundation of Heilongjiang Province, China
(Grant No A200506).
Cite this article:
Xu Quan(徐权), Tang Feng-Yun(汤凤云), and Tian Qiang(田强) Existences and stabilities of bright and dark breathers in a general one-dimensional discrete monatomic Chain 2008 Chin. Phys. B 17 1331
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