Forms Of Nonlinear Refractive Index Research Articles

Quiescent Optical Solitons with Quadratic-Cubic and Generalized Quadratic-Cubic Nonlinearities

This paper studies the formulation of dark and singular stationary optical solitons that stem from quadratic-cubic and generalized quadratic-cubic forms of nonlinear refractive index coupled with nonlinear chromatic dispersion. The temporal evolution is taken to be of both kinds, namely linear and generalized. The enhanced Kudryashov’s approach enables this retrieval possible.

Chirped gap solitons in fiber Bragg gratings with polynomial law of nonlinear refractive index

The objective of the present study is to examine the behaviors of chirped optical solitons in fiber Bragg gratings (BGs) with dispersive reflectivity. The form of nonlinear refractive index represents polynomial law nonlinearity. By virtue of phase-matching condition, the discussed model of coupled nonlinear Schrödinger equation is reduced to an integrable form. Consequently, chirped optical solitons having various profiles such as W-shaped, bright, dark, kink and anti-kink solitons are derived. Further to this, the chirp associated with these soliton structures are extracted. The impact of dispersive reflectivity, self-phase modulation and cross-phase modulation on the pulse propagation is investigated and it is induced that the changes of self-phase modulation and cross-phase modulation cause a marked rise in soliton amplitude which is subject to minor variations by dispersive reflectivity. The physical evolutions of chirped optical solitons are described along with the corresponding chirp to pave the way for possible applications in the field of fiber BGs.

Cubic–Quartic Optical Soliton Perturbation for Fokas–Lenells Equation with Power Law by Semi-Inverse Variation

The current work addresses cubic–quartic solitons to compensate for the low count of the chromatic dispersion that is one of the major hindrances of soliton transmission through optical fibers. Thus, the present paper handles the cubic–quartic version of the perturbed Fokas–Lenells equation that governs soliton communications across trans-oceanic and trans-continental distances. The model is also considered with the power-law form of nonlinear refractive index that is a sequel to the previously reported result. This is a tremendous advancement to the previously known result that was only with the Kerr-law form of nonlinear refractive index. The present paper mainly contributes by generalizing the Kerr law of nonlinearity to the power law of nonlinearity. The prior results therefore fall back as a special case to the results of this paper. The semi-inverse variational principle yields a bright 1-soliton solution that is imperative for the telecommunication engineers to carry out experimental investigation before the rubber meets the road. Hamiltonian perturbation terms are included that come with maximum intensity. The soliton amplitude–width relation is retrievable from a polynomial equation with arbitrary degree. The parameter constraints are also identified for the soliton to exist.

Stationary optical solitons with complex Ginzburg–Landau equation having nonlinear chromatic dispersion and Kudryashov's refractive index structures

This work obtains stationary optical solitons for complex Ginzburg–Landau equation that is structured with Kudryashov's self–phase modulation structures. The chromatic dispersion is also taken to be nonlinear. Six forms of nonlinear refractive index are considered. The adopted integration scheme is the generalized G′/G-expansion approach that yields solutions in terms of Jacobi's elliptic functions. The limiting approach, when applied with the modulus of ellipticity leads to the stationary optical solitons that finally emerge from the model.

Highly dispersive optical solitons in birefringent fibres with non-local form of nonlinear refractive index: Laplace�Adomian decomposition

Highly dispersive optical solitons in birefringent fibres with non-local form of nonlinear refractive index: Laplace�Adomian decomposition

New private types for the cubic-quartic optical solitons in birefringent fibers in its four forms of nonlinear refractive index

From the point of view of the extended simple equation method, multiple new private distinct types for the cubic-quartic optical soliton birefringent fibers with four forms nonlinear refractive index have been extracted. The suggested model has vital effective effect in all modern telecommunications process. The suggested method which has invited for this purpose examined previously for many other nonlinear problems arising in various branches of science and continuously gives good results. We will implement this method to extracting multiple new private types for the cubic-quartic soliton with its four different forms of the NLSE which are, the cubic-quartic in polarization-preserving fibers with the kerr-low nonlinearity, quadratic-cubic law nonlinearity, parabolic law nonlinearity and non-local law nonlinearity. Actual comparison between our achieved results and that realized previously by other authors has been established.

Construction of optical solitons of magneto-optic waveguides with anti-cubic law nonlinearity.

Two efficient integration schemes, new extended hyperbolic function and generalized tanh are employed to discover optical soliton solutions to magneto-optic waveguides that retains anti-cubic form of nonlinear refractive index. Bright, dark, periodic singular, singular, and combo soliton solutions have created. These solutions expose the comprehensive variety of soliton solutions.

Solitons and conservation laws in magneto-optic waveguides with generalized Kudryashov’s equation by the unified auxiliary equation approach

This is a work on recovering soliton solutions in magneto-optic waveguides that maintains Kudryashov’s generalized form of nonlinear refractive index. The unified auxiliary equation approach retrieves solutions in terms of Jacobi’s elliptic functions. Subsequently, the limiting approach, when modulus of ellipticity approaches zero or unity, solitons and other solutions are identified. The paper concludes with an exhibit of conservation laws to the model.

Cubic–quartic solitons for twin-core couplers in optical metamaterials

This paper obtains a spectrum of soliton solutions in optical couplers that are with Kerr form of nonlinear refractive index. These are cubic–quartic solitons where the usual chromatic dispersion is replaced by a collective effect of third and fourth order dispersions. Two integration schemes are implemented to recover these soliton solutions.

Stationary optical solitons with cubic–quartic law of refractive index and nonlinear chromatic dispersion

This paper recovers stationary optical solitons for the newly established cubic–quartic form of nonlinear refractive index together with nonlinear chromatic dispersion. The study is extended to the generalized form of cubic–quartic nonlinearity and later with generalized temporal evolution. The extended Jacobi's elliptic function expansion is implemented in all cases to recover the stationary solitons.

Cubic–quartic optical solitons with Kudryashov's arbitrary form of nonlinear refractive index

The focus of attention in this paper is to retrieve cubic–quartic solitons in presence of Kudryashov's law including generalized non-local law. The two integration approaches are also due to Kudryashov. A range of soliton solutions have been recovered in the work.

Highly dispersive optical solitons in birefringent fibers with four nonlinear forms using Kudryashov’s approach

This paper exhibits bright, dark, singular as well as combo optical highly dispersive solitons in birefringent fibers. The governing model is considered with four forms of nonlinear refractive index. The existence criteria for such solitons are also listed.

Optical soliton perturbation with exotic forms of nonlinear refractive index

This study extracts bright and singular optical solitons to the governing nonlinear Schrödinger's equation along with it's perturbation terms having eleven different nonlinear forms. The sech function and csch function approaches recover these soliton solutions as well as other solutions. These existence criteria for such solitons are also presented.

Solitions in magneto–optic waveguides with anti–cubic nonlinearity

Optical soliton solutions are recovered for magneto–optic waveguides that maintains anti–cubic form of nonlinear refractive index. The analytical scheme is Jacobi's elliptic function approach. Once the solutions to the governing model are obtained in terms of Jacobi's elliptic functions, the limiting value to it's modulus of ellipticity reveals the complete spectrum of soliton solutions.

Highly dispersive optical solitons in birefringent fibers with four forms of nonlinear refractive index by three prolific integration schemes

This paper studies highly dispersive optical solitons in birefringent fibers with Kerr, quadratic-cubic, polynomial and non-local laws of refractive index. Three integration schemes adopted are Riccati function approach, sine-Gordon function technique and F-expansion method.

STOCHASTIC PERTURBATION OF OPTICAL SOLITONS WITH QUADRATIC–CUBIC NONLINEAR REFRACTIVE INDEX

This work obtains mean free velocity of bright optical solitons in optical fibers that are studied with quadratic–cubic form of nonlinear refractive index. The perturbation terms are from multi–photon absorption, filters and stochastic effect. The Langevin equation is derived from soliton perturbation which lead to the mean free velocity of the soliton.

Solitons in magneto–optic waveguides with quadratic–cubic nonlinearity

This paper implements unified Riccati equation expansion scheme as well as extended auxiliary equation method to obtain bright, dark and singular solitons in magneto–optic waveguides. The quadratic–cubic form of nonlinear refractive index is the focus of the paper. These solitons emerge after a limiting value when the modulus of ellipticity approaches unity.

Exhibit of highly dispersive optical solitons in birefringent fibers with four forms of nonlinear refractive index by exp-function expansion

This paper employs exp-function scheme to obtain highly dispersive optical solitons that appear, in birefringent fibers, with four forms of nonlinear media. These are Kerr law, quadratic-cubic law, polynomial law and non-local law. The existence criteria of the solitons are also presented.

Cubic-quartic optical solitons in birefringent fibers with four forms of nonlinear refractive index by exp-function expansion

This paper applies exp-function expansion algorithm to secure to cubic-quartic dark and singular optical solitons in birefringent fibers that are studied with four forms of nonlinear refractive index. These solitons are listed along with their existence criteria and are also classified.

Chirped and chirp-free optical solitons in fiber Bragg gratings with dispersive reflectivity having quadratic-cubic nonlinearity by sub-ODE approach

This paper exposes optical solitons and other solutions to fiber Bragg gratings with dispersive reflectivity having quadratic-cubic form of nonlinear refractive index. The new sub-ODE method has been utilized. Chirped and chirp-free optical solitons in fiber Bragg gratings with dispersive reflectivity having quadratic-cubic form of nonlinearity are revealed and displayed.