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.

A semi-Lagrangian method for parabolic problems is proposed, that extends previous work by the authors to achieve a fully conservative, flux-form discretization of linear and nonlinear diffusion equations. A basic consistency and convergence analysis are proposed. Numerical examples validate the proposed method and display its potential for consistent semi-Lagrangian discretization of advection...

A generic criterion for the generation of spontaneous fractal patterns is proposed, which has independence with respect to system nonlinearity. We also report the first transverse spatial optical fractals found in dispersive and absorptive ring cavities, and our analysis is fully confirmed by numerical simulations. © 2007 Optical Society of America OCIS codes: (190.4400) Nonlinear Optics, Mater...

A reconfigurable structure of antenna improves electromagnetic (EM) performance and its capability compared with other designs. The design satisfies both EM mechanical needs simultaneously. This paper studies the stability analysis a foldable helical Kresling origami pattern, which is subjected to tip follower force. simulated using geometrically-exact, fully intrinsic nonlinear composite beam ...