scholarly journals Optical Solitons in Bragg Gratings Fibers for The Nonlinear (2+1)-Dimensional Kundu-Mukherjee-Naskar Equation Using Two Integration Schemes

2021 ◽  
Author(s):  
Elsayed M. E. Zayed ◽  
Reham Shohib ◽  
Mohamed E. M. Alngar
Keyword(s):  
Fiber Bragg Gratings ◽  
Soliton Solutions ◽  
Bragg Gratings ◽  
Optical Solitons ◽  
Current Work ◽  
Integration Schemes ◽  
First Time ◽  
Singular Soliton

Abstract The current work handles for the first time, dispersive optical solitons in fiber Bragg gratings for the nonlinear (2+1)-dimensional Kundu-Mukherjee-Naskar equation. Two integration schemes, namely, the modified Kudryashov's approach and the addendum to Kudryashov's methodology are applied. Dark, bright and singular soliton solutions are obtained. Also, combo bright-singular soliton solutions are introduced.

scholarly journals Optical Solutions in Fiber Bragg Gratings with Polynomial Law Nonlinearity and Cubic-Quartic Dispersive Reflectivity-=SUP=-*-=/SUP=-

2021 ◽  
Vol 129 (11) ◽  
pp. 1409
Author(s):  
Elsayed M.E. Zayed ◽  
Mohamed E.M. Alngar ◽  
Anjan Biswas ◽  
Mehmet Ekici ◽  
Padmaja Guggilla ◽  
...  
Keyword(s):  
Refractive Index ◽  
Periodic Solutions ◽  
Nonlinear Refractive Index ◽  
Fiber Bragg Gratings ◽  
Soliton Solutions ◽  
Bragg Gratings ◽  
Optical Solitons ◽  
Auxiliary Equation ◽  
Equation Approach ◽  
Integration Schemes

Optical solitons with ber Bragg gratings and polynomial law of nonlinear refractive index are addressed in the paper. The auxiliary equation approach together with an addendum to Kudryashov's method identify soliton solutions to the model. Singular periodic solutions emerge from these integration schemes as a byproduct. Keywords: solitons; cubic-quartic; Bragg gratings.

Optical solitons in fiber Bragg gratings with Radhakrishnan-Kundu-Lakshmanan equation using two integration schemes

Optik ◽  
2021 ◽  
pp. 167635
Author(s):  
Elsayed M.E. Zayed ◽  
Reham M.A. Shohib ◽  
Mohamed E.M. Alngar ◽  
Yakup Yıldırım
Keyword(s):  
Fiber Bragg Gratings ◽  
Bragg Gratings ◽  
Optical Solitons ◽  
Integration Schemes

scholarly journals Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms

Mathematics ◽  
2021 ◽  
Vol 9 (24) ◽  
pp. 3270
Author(s):  
Elsayed M. E. Zayed ◽  
Khaled A. Gepreel ◽  
Mahmoud El-Horbaty ◽  
Anjan Biswas ◽  
Yakup Yıldırım ◽  
...  
Keyword(s):  
Refractive Index ◽  
Landau Equation ◽  
Soliton Solutions ◽  
Optical Solitons ◽  
Index Structures ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Parameter Constraints ◽  
First Time ◽  
Singular Soliton

This paper retrieves highly dispersive optical solitons to complex Ginzburg–Landau equation having six forms of nonlinear refractive index structures for the very first time. The enhanced version of the Kudryashov approach is the adopted integration tool. Thus, bright and singular soliton solutions emerge from the scheme that are exhibited with their respective parameter constraints.

Cubic-quartic optical soliton solutions in fiber Bragg gratings with Lakshmanan–Porsezian–Daniel model by two integration schemes

2021 ◽  
Vol 53 (5) ◽  
Author(s):  
Elsayed M. E. Zayed ◽  
Taher A. Nofal ◽  
Khaled A. Gepreel ◽  
Reham M. A. Shohib ◽  
Mohamed E. M. Alngar
Keyword(s):  
Fiber Bragg Gratings ◽  
Soliton Solutions ◽  
Bragg Gratings ◽  
Optical Soliton ◽  
Integration Schemes

Optical solitons in fiber Bragg gratings with generalized anti-cubic nonlinearity by extended auxiliary equation

2020 ◽  
Vol 65 ◽  
pp. 613-628
Author(s):  
Elsayed M.E. Zayed ◽  
Reham M.A. Shohib ◽  
Anjan Biswas ◽  
O. González-Gaxiola ◽  
Yakup Yıldırım ◽  
...  
Keyword(s):  
Fiber Bragg Gratings ◽  
Bragg Gratings ◽  
Optical Solitons ◽  
Auxiliary Equation ◽  
Cubic Nonlinearity

Chirped and Chirp-Free Optical Solitons in Fiber Bragg Gratings with Kudryashov’s Model in Presence of Dispersive Reflectivity

2020 ◽  
Vol 65 (11) ◽  
pp. 1267-1287 ◽  
Author(s):  
E. M. E. Zayed ◽  
M. E. M. Alngar ◽  
A. Biswas ◽  
M. Ekici ◽  
A. K. Alzahrani ◽  
...  
Keyword(s):  
Fiber Bragg Gratings ◽  
Bragg Gratings ◽  
Optical Solitons

Optical bright, dark and dipole solitons with derivative nonlinearity in the presence of parity-time-symmetric lattices

2020 ◽  
Vol 34 (16) ◽  
pp. 2050174
Author(s):  
Asad Zubair ◽  
Nauman Raza
Keyword(s):  
Nonlinear Medium ◽  
Soliton Solutions ◽  
Optical Solitons ◽  
Arbitrary Power ◽  
Derivative Term ◽  
Linear And Nonlinear ◽  
New Formula ◽  
Singular Soliton ◽  
Engineering Scheme

This paper deals with the study of optical solitons in the presence of new linear and nonlinear parity-time [Formula: see text]-symmetric modulation lattices. The nonlinear medium is a derivative term with arbitrary power. Inverse engineering scheme is utilized to retrieve bright, dark, dipole and singular soliton solutions. These solutions are presented for four new [Formula: see text]-symmetric potentials. The results reveal that optical bright, dark and dipole solitons can exist for those new physical settings.

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.

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

Optik ◽  
2020 ◽  
Vol 203 ◽  
pp. 163993 ◽  
Author(s):  
Elsayed M.E. Zayed ◽  
Mohamed E.M. Alngar ◽  
Anjan Biswas ◽  
Houria Triki ◽  
Yakup Yıldırım ◽  
...  
Keyword(s):  
Fiber Bragg Gratings ◽  
Bragg Gratings ◽  
Optical Solitons ◽  
Cubic Nonlinearity

Optical solitons in fiber Bragg gratings with dispersive reflectivity for parabolic law nonlinearity using undetermined coefficients

Optik ◽  
2019 ◽  
Vol 185 ◽  
pp. 39-44 ◽  
Author(s):  
Anjan Biswas ◽  
Jose Vega-Guzman ◽  
Mohammad F. Mahmood ◽  
Mehmet Ekici ◽  
Qin Zhou ◽  
...  
Keyword(s):  
Fiber Bragg Gratings ◽  
Bragg Gratings ◽  
Optical Solitons ◽  
Parabolic Law ◽  
Parabolic Law Nonlinearity
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