Abstract This paper studies a discrete one-dimensional monatomic Klein--Gordon chain with only quartic nearest-neighbor interactions, in which the compact-like discrete breathers can be explicitly constructed by an exact separation of their time and space dependence. Introducing the trying method, it proves that compact-like discrete breathers exist in this nonlinear system. It also discusses the linear stability of the compact-like discrete breathers, when the coefficient ($\beta$) of quartic on-site potential and the coupling constant (K4) of quartic interactive potential satisfy the given conditions, they are linearly stable.
Received: 12 March 2008
Revised: 23 May 2008
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), Tian Qiang(田强) Compact-like discrete breather and its stability in a discrete monatomic Klein--Gordon chain 2008 Chin. Phys. B 17 4614
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