A dispersion-managed optical system with stepwise periodic variation of dispersion is studied in a strong dispersion map limit in the framework of the path-averaged Gabitov-Turitsyn equation. The soliton solution is obtained by analytical and numerical iteration of the path-averaged equation. An efficient numerical algorithm for finding a DM soliton shape is developed. The envelope of soliton o...

In this work, the propagation of solitons in single-mode optical fibers has been investigated theoretically by using the nonlinear Schrödinger equation. This equation combines the effects of group velocity dispersion and self-phase modulation present in optical fibers and also takes into account the loss of optical fiber. The nonlinear Schrödinger equation has been solved numerically by using t...

Propagation of incoherent nonlinear picosecond pulses in a single-mode optical fiber is considered within the framework of the nonlinear Schrijdinger equation. Statistical characteristics of a non-soliton wave packet induced by a random input pulse are obtained with the help of the inverse scattering technique. The probability of a soliton creation from the random pulse is found. Mean soliton a...

We study the dynamics of bright solitons formed in a Bose-Einstein condensate with attractive atomic interactions perturbed by a weak bichromatic optical lattice potential. The lattice depth is a biperiodic function of time with a zero mean, which realizes a flashing ratchet for matter-wave solitons. We find that the average velocity of a soliton and the soliton current induced by the ratchet d...

Dispersion varying fibres have applications in optical pulse compression techniques. We investigate Akhmediev breathers, Kuznetsov–Ma (KM) solitons and optical rogue waves in a dispersion varying optical fibre based on a variable-coefficient nonlinear Schrödinger equation. Analytical solutions in the forms of Akhmediev breathers, KM solitons and rogue waves up to the second order of that equati...

We provide a brief review of recent theoretical studies of optical spatial solitons in parity-time(PT-) symmetric mixed linear-nonlinear lattices. The existence and stability of optical spatial solitons forming in PT-symmetric lattices with spatially periodic modulation of the Kerr nonlinearity are briefly overviewed. The linear optical lattices are considered to be either regular lattices or s...

We demonstrate self-similar evolution of fundamental and higher-order dark soliton stripes on a paraboloidal background in a bulk graded-index waveguide with self-defocusing nonlinearity. The results show that the dark soliton stripes can self-similarly evolve on the paraboloidal background when they pass through the nonlinear well or barrier, and their evolutions may lead to the generation of ...

Stable picosecond soliton transmission is demonstrated numerically by use of concatenated gain-distributed nonlinear amplifying fiber loop mirrors (NALMs). We show that, as compared with previous soliton transmission schemes that use conventional NALMs or nonlinear optical loop mirror and amplifier combinations, the present scheme permits a significant increase of loop-mirror (amplifier) spacin...