title: One-parameter scaling theory for stationary states of disordered nonlinear systems.
abstract: We show, using detailed numerical analysis and theoretical arguments, that the normalized participation number of the stationary solutions of disordered nonlinear lattices obeys a one-parameter scaling law. Our approach opens a new way to investigate the interplay of Anderson localization and nonlinearity based on the powerful ideas of scaling theory.
authors.affiliation: Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA.
authors.forename: Joshua D
authors.initials: JD
authors.lastname: Bodyfelt
authors.forename: Tsampikos
authors.initials: T
authors.lastname: Kottos
authors.forename: Boris
authors.initials: B
authors.lastname: Shapiro