On Modulated Waves in a Disordered Anharmonic Chain

Abstract

Properties of modulated waves in a disordered anharmonic chain with symmetric potential are examined by the use of a perturbation method. Under the assumption that the effect of impurities is considerably small, a basic equation to describe behaviours of the modulated waves is obtained. On the basis of this equation the decay process of an envelope solitary wave is discussed. It seems that the main decay process is the excitations of localized mode vibrations due to the impurities.