We study composite spatial optical solitons supported by two-wave mutual focusing induced by cross-phase modulation in Kerr-like nonlinear media. We find the families of both single- and two-hump solitons and discuss their properties and stability. We also reveal remarkable similarities between recently predicted holographic solitons in photorefractive media and parametric solitons in quadratic...

Gap solitons refer to intense nonlinear optical pulse propagation in periodic variation fiber. This paper is a brief survey and updates some of recent research in gap solitons. The theory of gap solitons by D.Mills [1] has been reviewed. The first experiment demonstration of gap (Bragg) solitons by Eggleton et al [2] has been discussed.

Solitons, defined as nonlinear waves which can reflect from boundaries or transmit through each other, are found in conservative, fully integrable systems. Similar phenomena, dubbed quasi-solitons, have been observed also in dissipative, "excitable" systems, either at finely tuned parameters (near a bifurcation) or in systems with cross-diffusion. Here we demonstrate that quasi-solitons can be ...

solitons are ubiquitous and exist in almost every area from sky to bottom. for solitons to appear, the relevant equation of motion must be nonlinear. in the present study, we deal with the korteweg-devries (kdv), modied korteweg-de vries (mkdv) and regularised longwave (rlw) equations using homotopy perturbation method (hpm). the algorithm makes use of the hpm to determine the initial expansio...

Dipole and quadrupole solitons in a two-dimensional photorefractive optical lattice are investigated both theoretically and experimentally. It is shown theoretically that out-of-phase dipole solitons and quadrupole solitons exist and are linearly stable in the intermediate-intensity regime. In-phase dipole and quadrupole solitons, however, are always linearly unstable, but their instabilities a...

Families of solitons in one- and two-dimensional (1D and 2D) Gross-Pitaevskii equations with the repulsive nonlinearity and a potential of the quasicrystallic type are constructed (in the 2D case, the potential corresponds to a fivefold optical lattice). Stable 1D solitons in the weak potential are explicitly found in three band gaps. These solitons are mobile, and they collide elastically. Man...

A driven optical cavity containing a nonlinear medium can support stable, soliton-like objects, bright non-diffracting spots of light on a uniform background. Importantly, the nonlinear medium need not support ordinary (propagating) spatial solitons, and cavity solitons have been both predicted and observed in a saturable absorber, and predicted to even exist in self-defocusing media. The histo...

We consider a pair of noncommutative solitons in the noncommutative Yang–Mills/M(atrix) model. In the case when the solitons are separated by a finite distance their “polarisations” do not belong to orthogonal subspaces of the Hilbert space. In this case the interaction between solitons is nontrivial. We analyse the dynamics arisen due to this interaction in both naive approach of rigid soliton...

In this paper we investigate the properties of self induced transparency (SIT) solitons, propagating in a Λ-type medium. We find that the interaction between SIT solitons can lead to trapping with their phase preserved in the ground state coherence of the medium. These phases can be altered in a systematic way by the application of appropriate light fields, such as additional SIT solitons. Furt...

This Letter reports experimental results on random temporal dark solitons. One excites an incoherent large-amplitude propagating spin-wave packet in a ferromagnetic film strip with a repulsive, instantaneous nonlinearity. One then observes the random formation of dark solitons from this wave packet. The solitons appear randomly in time and in position relative to the entire wave packet. They ca...