Existence and Stability of Compact-Like Discrete Breather in Discrete One-Dimensional Monatomic Chains

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.