Existence and Stability of Compact-Like Discrete Breather in Discrete One-Dimensional Monatomic Chains
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Abstract
Compact-like discrete breathers in discrete one-dimensional monatomic chains are investigated by discussing a generalized discrete one-dimensional monatomic model. It is proven that compact-like discrete breathers exist not only in soft ψ4 potential but also in hard ψ4 potential and K4 chains. The
measurements of compact-like discrete breathers' core in soft and hard ψ4 potential are determined by coupling parameter K4, while the measurements of compact-like discrete breathers' core in K4 chains are not related to coupling parameter K4. The stabilities of compact-like discrete breathers correlate closely to coupling parameter K4 and the boundary condition of lattice.
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