This paper recovers a broad spectrum of optical solitons for the perturbed nonlinear Schrödinger’s equation having dual-power law nonlinearity. The perturbation terms are from inter-modal dispersion and self-frequency shift. integration scheme is improved extended tanh function approach. parameter constraints that naturally emerge also enumerated.

We study soliton solutions to the nonlinear Schrödinger equation (NLS) with a saturated nonlinearity. NLS with such a nonlinearity is known to possess a minimal mass soliton. We consider a small perturbation of a minimal mass soliton and identify a system of ODEs extending the work of Comech and Pelinovsky (Commun. Pure Appl. Math. 56:1565–1607, 2003), which models the behavior of the perturbat...

We show that under certain conditions the dark soliton solutions of the defocusing nonlinear Schrr odinger equation can be less stable than their bright counterparts. This is due to the tendency of a dark soliton under external perturbation to generate dispersive waves that organize themselves in a \shelf" around the pulse wings, as exempliied by the simple case of dark solitons under small lin...

The scalar isoscalar form factor of the nucleon is calculated in the limit of a large number of colours in the framework of the chiral quark-soliton model. The calculation is based on an approximation justified by arguments from the instanton model of the QCD vacuum, from which the chiral quark-soliton model was derived. The simple parameter-free result reproduces all features of the form facto...

As is known, a solitary pulse in the complex cubic Ginzburg-Landau (GL) equation is unstable. We demonstrate that a system of two linearly coupled GL equations with gain and dissipation in one subsystem and pure dissipation in another produces absolutely stable solitons and their bound states. The problem is solved in a fully analytical form by means of the perturbation theory. The soliton coex...

Research in String Theory was carried out on a very broad front, encompassing mirror symmetry, matrix models, duality, compactifications, the study of string theory in a curved background and its relation to gauge theories, and the interaction of string theory with cosmology. Some progress was made towards quantizing string theory in AdS5 × S in the limit of zero curvature, which is dual to the...

We investigate the dynamics of localized solutions of the relativistic cold-fluid plasma model in the small but finite amplitude limit, for slightly overcritical plasma density. Adopting a multiple scale analysis, we derive a perturbed nonlinear Schrödinger equation that describes the evolution of the envelope of circularly polarized electromagnetic field. Retaining terms up to fifth order in t...

By using adiabatic perturbation theory, we calculate the timing jitter generated by fluctuations in soliton amplitude, frequency, and position that are induced by the amplifiers noise in high-speed soliton communication systems. The analysis is applied to dispersion-tailored fibers which, in contrast with conventional constantdispersion fibers, allow ultrashort solitons (width , 10 ps) to propa...

We examine the problem of polariton soliton formation in the array of weakly coupled optical cavities, each containing an ensemble of ultracold non-interacting two-level atoms. An effective complex Ginzburg-Landau equation (GLE) is derived in the continuum limit taking into account the effects of cavity field dissipation and atomic polarization dephasing. Bright solitons are found to be support...

In this paper, we study the competition of linear and nonlinear lattices and its effects on the stability and dynamics of bright solitary waves. We consider both lattices in a perturbative framework, whereby the technique of Hamiltonian perturbation theory can be used to obtain information about the existence of solutions, and the same approach, as well as eigenvalue count considerations, can b...