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

2021 ◽  
Vol 35 (24) ◽  
Author(s):  
Ahmed M. Elsherbeny ◽  
Reda El-Barkouky ◽  
Aly R. Seadawy ◽  
Hamdy M. Ahmed ◽  
Rabab M. I. El-Hassani ◽  
...  
Keyword(s):  
Refractive Index ◽  
Power Law ◽  
Soliton Solutions ◽  
Research Paper ◽  
Optical Soliton ◽  
Integration Scheme ◽  
Arbitrary Form ◽  
Soliton Perturbation ◽  
Singular Soliton ◽  
Simple Integration

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.

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

2021 ◽  
Vol 24 (1) ◽  
pp. 64-70
Author(s):  
Y. Yildirim ◽  
◽  
A. Biswas ◽  
A.H. Kara ◽  
M. Ekici ◽  
...  
Keyword(s):  
Refractive Index ◽  
Power Law ◽  
Nonlinear Refractive Index ◽  
Conservation Law ◽  
Optical Solitons ◽  
Optical Soliton ◽  
Complete Picture ◽  
Nonlocal Nonlinearity ◽  
Dual Form ◽  
Soliton Perturbation

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.

Cubic–Quartic Solitons in Couplers with Optical Metamaterials Having Power Law of Refractive Index

2021 ◽  
pp. 2050009
Author(s):  
Elsayed M. E. Zayed ◽  
Mohamed E. M. Alngar ◽  
Reham M. A. Shohib ◽  
Anjan Biswas ◽  
Mehmet Ekici ◽  
...  
Keyword(s):  
Refractive Index ◽  
Power Law ◽  
Nonlinear Refractive Index ◽  
Soliton Solutions ◽  
Optical Soliton ◽  
Optical Metamaterials

This paper studies couplers in optical metamaterials that come with power law of nonlinear refractive index. The Kudryashov’s approach reveals bright, singular as well as bright-singular straddled optical soliton solutions. Both twin-core couplers and multiple-core couplers are studied.

Optical soliton perturbation with polynomial and triple-power laws of refractive index by semi-inverse variational principle

2020 ◽  
Vol 135 ◽  
pp. 109765 ◽  
Author(s):  
Russell W. Kohl ◽  
Anjan Biswas ◽  
Qin Zhou ◽  
Mehmet Ekici ◽  
Abdullah Kamis Alzahrani ◽  
...  
Keyword(s):  
Refractive Index ◽  
Variational Principle ◽  
Power Laws ◽  
Optical Soliton ◽  
Soliton Perturbation

Optical solitons in nonlinear directional couplers with G′/G-expansion scheme

2015 ◽  
Vol 24 (02) ◽  
pp. 1550017 ◽  
Author(s):  
Mohammad Mirzazadeh ◽  
Mostafa Eslami ◽  
Qin Zhou ◽  
M. F. Mahmood ◽  
Essaid Zerrad ◽  
...  
Keyword(s):  
Power Law ◽  
Soliton Solutions ◽  
Nearest Neighbors ◽  
Optical Solitons ◽  
Nonlinear Media ◽  
Parabolic Law ◽  
Kerr Law ◽  
Singular Soliton ◽  
Optical Couplers ◽  
Expansion Scheme

This paper obtains soliton solutions in optical couplers. The governing equation is solved by the aid of G′/G-expansion scheme. There are four types of nonlinear media that are taken into consideration. These are Kerr law, power law, parabolic law, and dual-power law. There are two kinds optical couplers studied in this paper. They are twin-core couplers and multiple-core couplers, where coupling with nearest neighbors as well as coupling with all neighbors are considered. Dark and singular soliton solutions are retrieved. These soliton solutions come with constraint conditions that must hold for the solitons to exist.

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

2021 ◽  
pp. 2150276
Author(s):  
Khalid K. Ali ◽  
Hadi Rezazadeh ◽  
Nauman Raza ◽  
Mustafa Inc
Keyword(s):  
Solitary Wave ◽  
Soliton Solutions ◽  
Algebraic Method ◽  
Optical Solitons ◽  
Optical Soliton ◽  
Mixed Complex ◽  
Solitary Wave Solutions ◽  
Computational System ◽  
Soliton Perturbation ◽  
Wave Solutions

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.

Propagation of diverse ultrashort pulses in optical fiber to Triki–Biswas equation and its modulation instability analysis

2021 ◽  
Author(s):  
Tukur Abdulkadir Sulaiman ◽  
Abdullahi Yusuf ◽  
Bashir Yusuf ◽  
Dumitru Baleanu
Keyword(s):  
Optical Fiber ◽  
Model Equation ◽  
Pulse Propagation ◽  
Modulation Instability ◽  
Soliton Solutions ◽  
Ultrashort Pulses ◽  
Optical Soliton ◽  
Integration Scheme ◽  
Efficient Integration ◽  
Complex Models

This paper presents the modulation instability (MI) analysis and the different types of optical soliton solutions of the Triki–Biswas model equation. The aforesaid model equation is the generalization of the derivative nonlinear Schrödinger equation which describes the ultrashort pulse propagation with non-Kerr dispersion. The study is carried out by means of a novel efficient integration scheme. During this work, a sequence of optical solitons is produced that may have an important in optical fiber systems. The results show that the studied model hypothetically has incredibly rich optical soliton solutions. The constraint conditions for valid soliton solutions are also reported. The gained results show that the applied method is efficient, powerful and can be applied to various complex models with the help of representative calculations.

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

2021 ◽  
pp. 2150004
Author(s):  
Elsayed M. E. Zayed ◽  
Mohamed E. M. Alngar ◽  
Reham M. A. Shohib ◽  
Salam Khan ◽  
Anjan Biswas ◽  
...  
Keyword(s):  
Refractive Index ◽  
Phase Modulation ◽  
Wide Spectrum ◽  
Soliton Solutions ◽  
Elliptic Functions ◽  
Maximum Intensity ◽  
The Self ◽  
Soliton Perturbation ◽  
Ode Method ◽  
Nonlinear Components

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.

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