The mathematical basis of nonlinear optics is Maxwell's system of equations governing
propagation of electromagnetic waves in a material medium, combined with relations …

Observation of Vortex-Ring ‘‘Discrete’’ Solitons in 2D Photonic Lattices Page 1 Observation of
Vortex-Ring ‘‘Discrete’’ Solitons in 2D Photonic Lattices Jason W. Fleischer,1,2 Guy Bartal,1 Oren …

Soliton dynamics often exhibit a rich diversity and complexity, emerging from myriad
combinations of nonlinearities and dispersions within nonlinear dynamical systems. This …

Transverse beam propagation is considered in a layered structure in which Kerr nonlinearity
alternates between self-focusing and self-defocusing, which makes it possible to prevent …

We analyze the response of rational and regular (hyperbolic-secant) soliton solutions of an
extended nonlinear Schrödinger equation (NLSE) which includes an additional self …

Using analytical and numerical approaches we study clusters of the two-dimensional
localized structures of light excited in the externally driven optical cavities. Stability and …

We analyze the dynamics of small internal vibrations in a two-component gap soliton. The
general model considered describes at least three different nonlinear optical systems: a pair …

We develop a theory of soliton spiraling in a bulk nonlinear medium and reveal a new
physical mechanism: Periodic power exchange via induced coherence, which can lead to …

Using the variational method, we obtain analytical conditions for stationary propagation of a
Gaussian pulse in a fibre with strong dispersion management. We consider both the lossless …

We analyze internal vibrations of a solitary wave in the generalized Zakharov system
(including a direct nonlinear self-interaction of the high-frequency field) by means of a …