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Existences and stabilities of bright and dark breathers in a general one-dimensional discrete monatomic Chain 下载免费PDF全文
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. 相似文献
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