Analytical Study of Moving Excitations for One-dimensional Homogeneous Lattice with Quartic Anharmonicity

摘要

The moving nonlinear excitations (intrinsic localized vibrational modes) for one-dimensional ho-mogeneous monoatomic lattice with quartic anharmonicity are obtained analytically by means ofthe semidiscrete approximation, with which the carrier wave is treated explicitly while the enve-lope function is described in the continuum approximation. Besides the moving pulse-like type of excitations which was found previously in both analytical and numerical works, we find thatthe moving kink-like type of excitations can also exist. And the kink-tike excitations appeared previously only in the stationary form for such a lattice system.