Abstract

S.K. Turitsyn, A. Bednyakova and E.V. Podivilov, Asymmetric optical nonlinear pulses. Coherent nonlinear solitary wave optical structures, such as solitons, self-similar parabolic pulses, dissipative solitons play important role in various applications.  In this talk I will intoduce basic generic model governing optical pulse propagation in a nonlinear dispersive amplifying medium with asymmetric gain. The key properties of the model and the results of numerical modeling will be discussed.  In a quasi-classical limit some solutions of the introduced model can be described by the simplified system of equations that is a modification of the well-known one-dimensional shallow water equations.   Our theory and numerical simulations provide insight into the nature of stable asymmetric pulse capable to accumulate large nonlinear phase without wave-breaking beyond the paabolic pulse approximation.