Multi-site Compact-Like Discrete Breather in Discrete One-Dimensional Monatomic Chains

Abstract

Multi-site compact-like discrete breathers in discrete one-dimensional monatomic chains are investigated by discussing a generalized discrete one-dimensional monatomic model. We obtain that the two-site compact-like discrete breathers with codes σ = {0,…, 0,1,1, 0,…, 0} and codes σ = {0,…,0,1, - 1,0,…, 0} can exist in discrete one-dimensional monatomic chain with quartic on-site and inter-site potentials. However, the former can only exist in hard quartic on-site potential and cannot exist in soft quartic on-site potential, whereas the latter is just reversed. All of the two-site Compact-like discrete breathers with codes σ = {0,…, 0,1,1, 0,…, 0} and σ = {0,…, 0,1, - 1, 0,…, 0} cannot exist in a pure K4 chain.