ANDERSON LOCALIZATION AND SOLITONIC ENERGY-TRANSPORT IN ONE-DIMENSIONAL OSCILLATORY SYSTEMS

In a harmonically disordered chain with a regular array of quartic nea rest-neighbor anharmonicity we have found a constructive or conflictin g interplay of Anderson localization and solitary solutions depending on the type of initial excitation (momentum or displacement). In the p resent work we specifically discuss energy propagation ensuing after t he momentum excitation of a single mass. A coexistence of Anderson loc alization and superdiffusive energy transport is found. Further, it is found that disorder destabilizes the supersonic solitary solution, wh ereas conversely anharmonicity reduces Anderson localization. A detail ed analysis is given.