title: Methods for discrete solitons in nonlinear lattices.
abstract: A method to find discrete solitons in nonlinear lattices is introduced. Using nonlinear optical waveguide arrays as a prototype application, both stationary and traveling-wave solitons are investigated. In the limit of small wave velocity, a fully discrete perturbative analysis yields formulas for the mode shapes and velocity.
authors.affiliation: Department of Applied Mathematics, University of Colorado, Campus Box 526, Boulder, Colorado 80309-0526, USA.
authors.forename: Mark J
authors.initials: MJ
authors.lastname: Ablowitz
authors.forename: Ziad H
authors.initials: ZH
authors.lastname: Musslimani
authors.forename: Gino
authors.initials: G
authors.lastname: Biondini