Nonlinear integrable dynamics of coupled vibrational and intra-site excitations on a regular one-dimensional lattice

摘要: Abstract The nonlinear integrable system of coupled vibrational and intra-site excitations on a regular one-dimensional lattice is studied analytically in the framework specially developed Darboux–Backlund dressing technique. obtained four-component solution to demonstrates pronounced mutual influence between subsystems form essentially superposition two principally distinct types traveling waves. shown be critical against value localization parameter, so that under-critical region subsystem should treated as an extended monopole whereas over-critical – dipole.