2021/05/01 by William Borrelli, Borrelli, William
Computer Science · Engineering · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Stability and Controllability of Differential Equations #Nonlinear Photonic Systems
paper · pdf · doi:10.48550/arxiv.2105.00252
In this paper we prove the convergence of solutions to discrete models for binary waveguide arrays toward those of their formal continuum limit, for which we also show the existence of localized standing waves. This work rigorously justifies formal arguments and numerical simulations present in the Physics literature.