Optical Solitons In Birefringent Fibers Research Articles

Optical solitons in birefringent fibers for perturbed complex Ginzburg–Landau equation with polynomial law of nonlinearity

Optical solitons in birefringent fibers for perturbed complex Ginzburg–Landau equation with polynomial law of nonlinearity

All-Optical Switches for Optical Soliton Interactions in a Birefringent Fiber

Interactions among optical solitons can be used to develop photonic information processing devices such as all-optical switches and all-optical logic gates. It is the key to achieve high-speed, high-capacity all-optical networks and optical computers, which is also important in academy. We study the properties of all-optical switches of optical solitons in birefringent fibers, based on the coupled nonlinear Schrödinger equations. It is found that under different initial conditions we can achieve all-optical switching functions. We also study the influence of different physical parameters of birefringent fibers on all-optical soliton switching. The relevant conclusions are conducive to achieving the all-optical switching function of optical solitons in birefringent fibers, providing useful guidance for widespread applications of optical soliton all-optical switches in birefringent fibers of communications.

Highly dispersive optical solitons in birefringent fibers with Lakshmanan–Porsezian–Daniel model having multiplicative white noise

Highly dispersive optical solitons in birefringent fibers with Lakshmanan–Porsezian–Daniel model having multiplicative white noise

Dispersive optical solitons in birefringent fibers for stochastic Schrödinger–Hirota equation with parabolic law nonlinearity and spatiotemporal dispersion having multiplicative white noise

Object:The objective of this article is to study the stochastic Schrödinger–Hirota equation with parabolic law nonlinearity and spatiotemporal dispersion (STD) in birefringent fibers having multiplicative white noise in the Itô sense. Method:The Jacobi-elliptic expansion approach and the extended auxiliary equation algorithm are utilized. Result:The Jacobi-elliptic solutions, bright solitons, dark solitons, singular solitons and periodic solutions of the given system are introduced.

Highly Dispersive Optical Solitons in Birefringent Fibers of Complex Ginzburg–Landau Equation of Sixth Order with Kerr Law Nonlinear Refractive Index

In this paper, we derived optical soliton solutions with a highly dispersive nonlinear complex Ginzburg–Landau (CGL) equation in birefringent fibers that have Kerr law nonlinearity. We applied two mathematical methods, namely the addendum Kudryashov’s method and the unified Riccati equation expansion method. Straddled solitary solutions, bright soliton, dark soliton and singular soliton solutions were obtained.This model represents the propagation of a dispersive optical soliton through a birefringent fiber. This happens when pulses propagating through an optical fiber split into two pulses.

Optical solitons in birefringent fibers with the generalized coupled space–time fractional non-linear Schrödinger equations

The nonlinear Schrödinger (NLS) equation is an ideal model for describing optical soliton transmission. This paper first introduces an integer-order generalized coupled NLS equation describing optical solitons in birefringence fibers. Secondly, the semi-inverse and fractional variational method is used to extend the integer‐order model to the space–time fractional order. Moreover, various nonlinear forms of fractional NLS equations are discussed, including the Kerr, power, parabolic, dual-power, and log law. The exact soliton solutions, such as bright, dark, and singular solitons, are given. Finally, the behavior of the solution is shown by three-dimensional figures with different fractional orders, which reveals the propagation characteristics of optical solitons in birefringence fibers described by the generalized coupled space–time fractional NLS equation.

Dispersive Optical Solitons with Differential Group Delay Having Multiplicative White Noise by Itô Calculus

The current paper recovers dispersive optical solitons in birefringent fibers that are modeled by the Schrödinger–Hirota equation with differential group delay and white noise. Itô Calculus conducts the preliminary analysis. The G′/G-expansion approach and the enhanced Kudryashov’s scheme gave way to a wide spectrum of soliton solutions with the white noise component reflected in the phase of the soliton.

Dispersive optical solitons in birefringent fibers for (2+1)-dimensional NLSE with Kerr law nonlinearity and spatio-temporal dispersion having multiplicative white noise via Itô calculus

Object:The current work handles for the first time, dispersive optical solitons in birefringent fibers for the (2+1)-dimensional NLSE with Kerr law nonlinearity and spatio-temporal dispersion having multiplicative white noise in the Itô sense. Methods:Two integration technologies via the unified Riccati equation algorithm and the extended auxiliary equation approach are applied. Results:Combo soliton solutions, dark solitons, bright solitons, and singular soliton solutions are presented.

Bifurcation analysis and multiple solitons in birefringent fibers with coupled Schrödinger-Hirota equation

The main attention of this paper focuses on the dynamical behavior and dispersive optical solitons in birefringent fibers with coupled Schrödinger-Hirota equation. Under the traveling wave transformations, the coupled Schrödinger-Hirota equation is reduced to plane dynamical system. With the help of the theory of planar dynamical system, we obtain a range of solutions which contain bell-shaped wave solutions, periodic wave solutions and kink-shaped wave solutions. Then by using the complete discriminant system method and symbolic computation, we give all the classification of single traveling wave solutions for the coupled nonlinear Schrödinger-Hirota equation. It is notable that the obtained results substantially improve or complement the corresponding conditions in the references [19, 20]. As a consequence, this paper gives a new idea to construct dispersive optical solitions for the coupled Schrödinger-Hirota equation.

Highly dispersive optical solitons in birefringent fibers for complex-Ginzburg–Landau equation with parabolic law of nonlinearity using two integration techniques

Object:This paper aims to deduce optical soliton solutions of the highly dispersive optical solitons with perturbed complex-Ginzburg–Landau equation having parabolic law nonlinear refractive index in birefringent fibers. Methods:The addendum Kudryashov’s method and algebraic sub-equation expansion method are used for solving the given system. Results:Combo soliton solutions, bright soliton solutions and singular soliton solutions as well as rational and periodic wave solutions have been deduced.

Optical solitons in birefringent fibers with Biswas-Arshed equation having multiplicative noise via Itô calculus using two integration algorithms

Objective:The purpose of this paper is to seek, for the first time, the soliton solutions in birefringent fibers with Biswas-Arshed equation having multiplicative noise via Itô calculus. Methods:The utilized approaches here are the extended simplest equation algorithm and the Jacobi-elliptic expansion approach. Results:Dark solitons, bright solitons, singular solitons, combo–singular solitons, combo bright–singular solitons, dark–bright solitons as well as Jacobi-elliptic functions (JEFs) solutions are yielded for the proposed system.

Optical solitons with Manakov equation having multiplicative white noise by Itô Calculus

Objective– Optical solitons in birefringent fibers modeled by Manakov equation are studied with multiplicative white noise rather than additive noise. Methods– First, a quick and succinct intro to the model is given. Next, the re-visitation of the mathematical analysis is addressed. Later, the ϕ6 –expansion approach with Itô Calculus is implemented. Finally, a wide spectrum of vector soliton solutions are exhibited in this paper. Results– Unlike in additive noise, optical solitons come with the factor of stochasticity due to the presence of white noise in the model. The mathematical approach along with the solution extraction methodology exposes the optical bright, dark and singular soliton solutions in birefringent fibers to the model. The parametric constraints for the existence of such solitons are enumerated. Singular periodic solutions are also derived from the integration scheme. Conclusion– The current work is the first to study the Manakov model in birefringent fibers with the presence of noise. The white noise appears only in the phase component of the solitons that is being observed for the first time in this work.

Highly Dispersive Optical Solitons in Birefringent Fibers with Polynomial Law of Nonlinear Refractive Index by Laplace–Adomian Decomposition

This paper is a numerical simulation of highly dispersive optical solitons in birefringent fibers with polynomial nonlinear form, which is achieved for the first time. The algorithmic approach is applied with the usage of the Laplace–Adomian decomposition scheme. Dark and bright soliton simulations are presented. The error measure has a very low count, and thus, the simulations are almost an exact replica of such solitons that analytically arise from the governing system. The suggested iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions.

Cubic–quartic optical solitons in birefringent fibers with Sasa–Satsuma equation

Objective:The paper recovers cubic–quartic optical solitons with the Sasa–Satsuma equation that includes a combination of third-order dispersion and fourth-order dispersion effects to address cubic–quartic vector solitons for the first time. Methods:Two integration schemes are applied to catch out the solitons to the newly structured model. They are G′/G–expansion scheme and modified Kudryashov’s approach. These pave way for a full spectrum of vector solitons. The recovered vector solitons are enumerated after a revisiting the mathematical strategies. Results:The mathematical approaches retrieve the dark, bright and singular vector solitons to the model. These solitons are presented by virtue of the certain restrictions. Rational and singular periodic solutions are also emerged with the mathematical schemes. Conclusion:Cubic–quartic vector solitons are yielded for such a model in this work for the first time. This would naturally lead to further ventures in this area. The newly structured model would be to address to recover the conservation laws. Other natural extensions to the model would be to consider with DWDM topology that would also lead to soliton solutions and their respective conservation laws.

Highly dispersive optical solitons in birefringent fibers for perturbed complex Ginzburg-Landau equation having polynomial law of nonlinearity

Objective:In our article, we deduce the soliton solutions for highly dispersive perturbed complex-Ginzburg–Landau equation in birefringent fibers having polynomial law of nonlinearity. Methods:In this study, we use two methods, namely the G′/G–expansion method and the addendum Kudryashov’s method. Results:We have found the straddled, combo bright–singular, dark, bright and singular solitons solutions as long as the rational solutions of the proposed equation.

Optical solitons in birefringent fibers with Sasa–Satsuma equation having multiplicative noise with Itô calculus

This paper obtains soliton solutions to Sasa–Satsuma equation, which is studied in birefringent fibers with multiplicative noise. The extended auxiliary equation approach reveals solutions in terms of Jacobi’s elliptic functions from which bright, dark and singular solitons emerge when the limiting operation is applied to the modulus of ellipticity, with the limit approaching zero or unity.

Highly dispersive optical solitons in birefringent fibers having Kerr law of refractive index by Laplace–Adomian decomposition

This paper revisits highly dispersive optical solitons in birefringent fibers, with Kerr law nonlinearity, from a numerical perspective. The Laplace–Adomian decomposition scheme reveals the spectral display of bright and dark optical solitons that are with differential group delay. The error measure is also displayed that is stunningly low.

Cubic–quartic optical solitons in birefringent fibers with Kaup–Newell equation using different arithmatic algorithms

This paper studies cubic–quartic optical solitons in birefringent fiber with the Kaup–Newell equation for the first time. Bright and singular solitons are recovered by the addendum to Kudryashov’s method and unified Riccati equation expansion method. These solitons depend on certain parameter restrictions which are also listed in this paper.

Optical solitons in birefringent fibers with Kaup–Newell equation using two integration schemes

This paper recovers optical solitons in birefringent fibers with the governing system that is derived from the Kaup–Newell equation. Two integration schemes are employed in this study. They are the direct algebraic and unified Riccati equation approaches. Singular, dark and bright solitons are retrieved. Jacobi elliptic and periodic solutions are also yielded. These solutions depend on certain parameter restrictions.

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.