Abstract

Disorder and nonlinearity sustain two different forms of wave-localization: Anderson states and solitary waves, respectively. Anderson states are given by the autostates with negative energy of a random potential, in absence of any form of nonlinearity; solitary waves, or solitons, are only due to nonlinearity. Nevertheless, these forms of wave trapping have several features in common, as for example the link between the localization length and the propagation constant, or eigenvalue.

© 2013 IEEE