Disorder and Nonlinearity

This is the first book to identify fundamental physical problems in the increasingly recognized overlap between nonlinearity and disorder. Although progress in the two fields has occurred independently and at a rapid pace in the past thirty years (solitons, polarons, deterministic chaos, and chaotic dynamics in "nonlinearity"; Anderson localization, effects of impurities, random spatial structures, and stochastic applied fields in "disorder"), disorder and nonlinearity often coexist and their separate effects can reinforce, complement or frustrate each other. This books shows how the expertise of researchers in these presently disjoint disciplines can be combined to confront common problems, for example, localization phenomena in solids.