We describe wave propagation and soliton localization in photonic lattices, which are induced in a nonlinear medium by an optical interference pattern, taking into account the inherent lattice deformations at the soliton location. We obtain exact analytical solutions and identify the key factors defining soliton mobility, including the effects of gap merging and lattice imbalance, underlying th...

The reduction of the soliton interaction by use of optical sliding-frequency second-order Butterworth filters is studied numerically. It is found that the second-order Butterworth filters can reduce the soliton interaction more effectively than Fabry-Perot filters or third-order Butterworth filters because the secondorder Butterworth filter induces larger frequency chirping on the soliton, comp...

We demonstrate theoretically and subsequently observe in experiment a novel type of soliton interaction when a pair of closely spaced spatial optical solitons as a whole is made partially incoherent. We explain how the character of the soliton interaction can be controlled by the total partial incoherence, and show a possibility to change the soliton interaction from attractive to repulsive, or...

When ultrashort pulses with large enough power are launched into highly nonlinear fibers, soliton fission gives origin to multiple fundamental solitons of different widths and peak powers. Two soliton related effects become then particularly important in the context of supercontinuum generation: the soliton self-frequency shift and the emission of dispersive radiation in the normal dispersion r...

In the framework of the nonlinear Λ model, propagation of solitons was analysed in atomic vapours and Bose-Einstein condensates. The complicated nonlinear interplay between fast and slow-light solitons in a Λ-type medium was shown to facilitate control of its optical transparency and formation of optical gates. An exact analytical description was given for the deceleration, stopping and revival...

We describe different types of self-trapped optical beams carrying phase dislocations, including vortex solitons and ring-like soliton clusters. We demonstrate numerically how to create such nonlinear singular beams by the interaction of several fundamental optical solitons. Mutual trapping of several solitons can be regarded as a synthesis of ‘soliton molecules’, and it corresponds to a transf...

We have simulated the behaviors of nonlinear fiber Bragg gratings (FBGs). The generalized nonlinear equations governing these structures are solved by a method which uses a Fourier series procedure and a simple iterative method. All of the nonlinear effects are considered. Bragg soliton generation in intrinsic media and birefringence effects in FBGs are studied. We found that the first order di...

We fully characterize the stationary spatial-gap soliton through the measurement of the phase function of its nearly periodic transverse intensity distribution. The spatial-gap soliton is generated in one-dimensional photonic crystal consisting of a corrugated semiconductor planar optical waveguide. The measured phase function allows us to determine the detuning parameter that provides the posi...