Title : A local bifurcation analysis of the Lugiato-Lefever equation
Speaker: Mariana Haragus
Affiliation: Université de Franche-Comté, France
Time: 2 pm Thursday, 8 June, 2017
Location: 303S-561
Abstract
The Lugiato-Lefever equation is a cubic nonlinear Schrödinger equation with damping, detuning and driving force arising as a model in nonlinear optics. Steady waves of this equation are found as solutions of a four-dimensional reversible dynamical system in which the evolutionary variable is the space variable. Relying upon tools from bifurcation theory and normal forms theory, we show the existence of various types of steady solutions, including spatially localized and periodic solutions.

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