Optical Soliton Perturbation Research Articles

Cubic–quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov’s method

This paper implements the enhanced Kudryashov’s method to address cubic–quartic complex Ginzburg–Landau equation for locating its solitons. This is considered when chromatic dispersion is discarded because of its low count. Sis forms of self-phase modulation structures are studied and they are Kerr law, parabolic law, polynomial law, quadratic–cubic law, anti-cubic law and parabolic-nonlocal law. Thus, bright and singular solitons are recovered for this model. The existence criteria for such solitons have been indicated, as well.

Cubic-quartic optical soliton perturbation with Fokas–Lenells equation by semi-inverse variation

This paper recovers cubic-quartic bright optical solitons with perturbed Fokas–Lenells equation. The Hamiltonian perturbation terms appear with maximal permissible intensity. The semi-inverse variational principle is employed to retrieve such solitons.

Highly dispersive optical soliton perturbation with cubic–quintic–septic law via two methods

The main consideration of this paper is to discuss cubic optical solitons in a polarization-preserving fiber modeled by nonlinear Schrödinger equation (NLSE). We extract the solutions in the forms of hyperbolic, trigonometric including a class of solitary wave solutions like dark, bright–dark, singular, singular periodic, multiple-optical soliton and mixed complex soliton solutions. A recently developed integration tool known as new extended direct algebraic method (NEDAM) is applied to analyze the governing model. Moreover, the studied equation is discussed with two types of nonlinearity. The constraint conditions are explicitly presented for the resulting solutions. The accomplished results show that the applied computational system is direct, productive, reliable and can be carried out in more complicated phenomena.

Highly dispersive optical soliton perturbation of Kudryashov’s arbitrary form having sextic-power law refractive index

In this research paper, a simple integration scheme is executed to secure new dark and singular soliton solutions for the highly dispersive nonlinear Schrödinger’s equation having Kudryashov’s arbitrary form with generalized nonlocal laws and sextic-power law refractive index.

Optical soliton perturbation with Kudryashov’s generalized law of refractive index and generalized nonlocal laws by improved modified extended tanh method

In this work, the improved modified extended tanh scheme is implemented to extract exact travelling wave solutions for perturbed nonlinear Schrödinger’s equation with Kudryashov’s law of refractive index and dual form of generalized nonlocal nonlinearity. Various types of solutions are extracted such as bright solitons, singular solitons, dark solitons, singular periodic wave solutions, periodic wave solutions, Jacobi elliptic functions, plane wave and hyperbolic wave solutions. Moreover, 3D and contour plots of some solutions are illustrated to show the physical nature of obtained solutions.

Cubic–quartic optical soliton perturbation and conservation laws with Lakshmanan–Porsezian–Daniel model: Undetermined coefficients

This work recovers cubic–quartic soliton solutions to the Lakshmanan–Porsezian–Daniel model by the method of undetermined coefficients. Both polarization-preserving fibers and birefringent fibers are studied. The conservation laws for polarization-preserving fibers are also retrieved and enumerated. The existence criteria for the displayed solitons are also presented.

Highly dispersive optical soliton perturbation with Kudryashov’s sextic-power law nonlinear refractive index by semi-inverse variation

A single bright highly dispersive optical soliton solution is recovered from semi-inverse variational principle. The model contains six power law nonlinear terms that constitute self-phase modulation effect which was proposed by Kudryashov. The amplitude–width relation of the soliton was finally recovered by Cardano’s approach with appropriate and necessary constraints that are presented.

Cubic–quartic optical soliton perturbation with Fokas–Lenells equation by sine–Gordon equation approach

This paper recovers cubic–quartic optical solitons for perturbed Fokas–Lenells equation in polarization-preserving fibers and birefringent fibers. The perturbation terms appear with maximum permissible intensity. Singular and dark solitons, together with a few combo solitons, emerge from the sine–Gordon equation integration scheme.

Optical Soliton perturbation with fractional temporal evolution by extended modified auxiliary equation mapping

In this article we discussed the analytical analysis of perturbed nonlinear fractional Schr$\ddot{o}$dinger equation with the help of our new introduced technique extended modified auxiliary equation mapping method(EMAEMM). By using this newly proposed technique we have found some new and more general variety of exact traveling wave solutions which are collecting some kind of semi half bright, semi half dark, doubly periodic, dark, combined, periodic, bright, half dark and half bright via three parametric values which is the primary key point of difference of our technique. These results are highly applicable to develop new theories of plasma physics, quantum mechanics, biomedical problems, soliton dynamics, nuclear physics, optical physics, fluid dynamics, electromagnetism, industrial studies, mathematical physics, and in many other natural and physical sciences. For detailed physical dynamical representation of our results we have shown them with graphs in different dimensions via Mathematica 10.4 to get more understanding to observe the behavior of different new dynamical shapes of solutions.

Optical soliton perturbation and conservation law with Kudryashov’s refractive index having quadrupled power-law and dual form of generalized nonlocal nonlinearity

The current paper obtains soliton solutions for Kudryashov’s law which stem from quadrupled-power law and dual form of nonlocal nonlinearity. A full spectrum of soliton solutions are derived. The conservation law is also exhibited to paint a complete picture to the model.

Cubic–quartic optical soliton perturbation Biswas–Milovic equation with Kudryashov’s law of refractive index using two integration methods

In this paper, we introduce the cubic–quartic perturbation with Biswas–Milovic equation including Kudryashov’s law of refractive index. Two mathematical approaches, namely, the modified Kudryashov’s approach and the addendum to Kudryashov’s approach are used to obtain optical soliton solutions to this equation. Dark soliton, bright soliton and singular soliton solutions have been existed. The comparative analysis of the two proposed approaches shows that the first approach gives the dark and singular solitons while the second approach gives the bright and singular solitons.

Optical soliton perturbation with Kudryashov's generalized nonlinear refractive index

This research article secures soliton solutions with Kudryashov's nonlinear refractive index structure. Additional solutions that are singular periodic also emerge from the two adopted integration schemes, as a byproduct.

Optical soliton perturbation with Kudryashov’s law of arbitrary refractive index

This paper recovers and lists optical solitons of perturbed Kudryashov’s model with arbitrary refractive index. Dark, singular and combo singular soliton solutions are identified with five integration schemes. These are visible along with their respective existence criteria.

Cubic–quartic optical soliton perturbation with Kudryashov’s law of refractive index having quadrupled–power law and dual form of generalized nonlocal nonlinearity by sine-Gordon equation approach

This paper recovers cubic–quartic optical solitons for Kudryashov’s law having dual form of generalized nonlocal nonlinearity. Hamiltonian type perturbation terms are included and these appear with maximum intensity. Bright, dark and singular solitons have emerged with the implementation of sine-Gordon equation method to the model.

Optical soliton perturbation and conservation law with Kudryashov’s refractive index having quadrupled power-law and dual form of generalized nonlocal nonlinearity

This paper is devoted to optical solitons for Kudryashov’s law of nonlinear refractive index, which stem from quadrupled-power law and dual form of nonlocal nonlinearity. The conservation law has been also exhibited to paint a complete picture of the model.

Optical soliton perturbation with Kudryashov’s law of refractive index by modified sub-ODE approach

This paper implements the sub-ODE method and a wide spectrum of solitons are recovered for Kudryashov’s law of refractive index. The self-phase modulation comprises of four nonlinear components of refractive index. The perturbation terms are all of Hamiltonian type and are considered with maximum intensity. The solutions are written in terms of Weierstrass’ elliptic functions and Jacobi’s elliptic function. With the modulus of ellipticity approaching zero or unity, soliton solutions emerge.

Cubic–quartic optical soliton perturbation with Lakshmanan–Porsezian–Daniel model

This paper studies cubic–quartic Lakshmanan–Porsezian–Daniel model with three integration algorithms. A spectrum of single as well as straddled soliton solutions emerge along with their existence criteria that naturally fall out from the schemes. These pave way to further future investigations to the governing model along with its extensions and generalizations.

Cubic–quartic optical soliton perturbation in polarization-preserving fibers with Fokas–Lenells equation

This research article yields solitons for Fokas–Lennel’s equation. A couple of integration approaches recover bright and singular soliton solutions together with their existence criteria.

Cubic–quartic optical soliton perturbation with Lakshmanan–Porsezian–Daniel model by sine-Gordon equation approach

This paper recovers cubic–quartic optical solitons for perturbed Lakshmanan–Porsezian–Daniel model. This is for both with and without polarization. The sine-Gordon equation approach is the scheme adopted to retrieve the soliton solutions. A full spectrum of soliton solutions have emerged.

Optical soliton perturbation with dual forms of simple equation approach: A transparent comparison

This paper studies dual forms of integrability to reveal a spectrum of optical soliton solutions of a governing model. These are modified simple equation method and extended simple equation scheme. The model also incorporates perturbation terms that are of Hamiltonian type. Four forms of nonlinear refractive index structures are studied.