Methods for discrete solitons in nonlinear lattices.

Phys Rev E Stat Nonlin Soft Matter Phys

Department of Applied Mathematics, University of Colorado, Campus Box 526, Boulder, Colorado 80309-0526, USA.

Published: February 2002

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.

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http://dx.doi.org/10.1103/PhysRevE.65.026602DOI Listing

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