Rudy Horne, Florida State University

Solitary Waves in Discrete Media and Four-Wave Mixing Products

Abstract:  In this talk, I will discus solutions that arise in a vector discrete model of the nonlinear Schr\"odinger equation where nonlinear inter-component coupling and four-wave mixing are taken into account. We show that the solutions to this model give rise to two single-mode branch solutions as well as two mixed-mode branch solutions. These solutions are obtained explicitly and their stability is analyzed in the so-called anti-continuum limit. Also, we connect this analysis to recent experiments that motivated this work.
 
Address: Department of Mathematics, Florida State University Room 208, 1017 Academic Way. Tallahassee, FL 32306-4510
                Webpage