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

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.

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Optical solitons in fiber Bragg gratings having Kerr law of refractive index with extended Kudryashov’s method and new extended auxiliary equation approach

Chinese Journal of Physics ◽

10.1016/j.cjph.2020.04.003 ◽

2020 ◽

Vol 66 ◽

pp. 187-205 ◽

Cited By ~ 1

Author(s):

Elsayed M.E. Zayed ◽

Mohamed E.M. Alngar ◽

Mahmoud El-Horbaty ◽

Anjan Biswas ◽

Ali Saleh Alshomrani ◽

...

Keyword(s):

Refractive Index ◽

Fiber Bragg Gratings ◽

Bragg Gratings ◽

Optical Solitons ◽

Auxiliary Equation ◽

Equation Approach ◽

Kerr Law

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Solitons in fiber Bragg gratings with cubic–quartic dispersive reflectivity having Kerr law of nonlinear refractive index

Journal of Nonlinear Optical Physics & Materials ◽

10.1142/s0218863520500113 ◽

2021 ◽

pp. 2050011

Author(s):

Elsayed M. E. Zayed ◽

Mohamed E. M. Alngar ◽

Anjan Biswas ◽

Mehmet Ekici ◽

Abdullah Khamis Alzahrani ◽

...

Keyword(s):

Refractive Index ◽

Nonlinear Refractive Index ◽

Kerr Effect ◽

Chromatic Dispersion ◽

Fiber Bragg Gratings ◽

Soliton Solutions ◽

Auxiliary Equation ◽

Equation Approach ◽

Complete Spectrum ◽

Kerr Law

This paper retrieves soliton solutions to fiber Bragg ratings with dispersive reflectivity where cubic–quartic dispersive effects are considered as opposed to the usual chromatic dispersion. The auxiliary equation approach and an addendum to Kudryashov’s scheme display a complete spectrum of soliton forms to the model that is studied with Kerr effect.

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Cubic-Quartic Optical Solitons in Bragg Gratings Fibers for Perturbed NLSE Having Parabolic-Nonlocal Law of Refractive Index Using Two Integration Schemes

10.21203/rs.3.rs-615796/v1 ◽

2021 ◽

Author(s):

Elsayed M. E. Zayed ◽

Mohamed E. M. Alngar

Keyword(s):

Refractive Index ◽

Bragg Gratings ◽

Optical Solitons ◽

Equation Method ◽

Auxiliary Equation ◽

Auxiliary Equation Method ◽

Integration Schemes ◽

Existence Criteria

Abstract The optical solitons in Bragg gratings fibers for perturbed NLSE having cubic-quartic dispersive reflectivity with parabolic-nonlocal combo law of refractive index are studied. The extended auxiliary equation method and the addendum to Kudryashov's method are introduced. The existence criteria for such solitons are indicated.

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

10.21203/rs.3.rs-784088/v1 ◽

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.

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

Chinese Journal of Physics ◽

10.1016/j.cjph.2020.03.017 ◽

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

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Optical solitons in fiber Bragg gratings with dispersive reflectivity by sine-Gordon equation approach

Optik ◽

10.1016/j.ijleo.2021.166684 ◽

2021 ◽

Vol 237 ◽

pp. 166684

Author(s):

Yakup Yıldırım ◽

Anjan Biswas ◽

Salam Khan ◽

Padmaja Guggilla ◽

Abdullah K. Alzahrani ◽

...

Keyword(s):

Gordon Equation ◽

Fiber Bragg Gratings ◽

Bragg Gratings ◽

Optical Solitons ◽

Equation Approach ◽

Sine Gordon Equation

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Soliton solutions for non-linear Kudryashov's equation via three integrating schemes

Thermal Science ◽

10.2298/tsci21s2157a ◽

2021 ◽

Vol 25 (Spec. issue 2) ◽

pp. 157-163

Author(s):

Saima Arshed ◽

Mehdi Mirhosseini-Alizamini ◽

Dumitru Baleanu ◽

Hadi Rezazadeh ◽

Mustafa Inc ◽

...

Keyword(s):

Refractive Index ◽

State Of The Art ◽

Soliton Solutions ◽

Expansion Method ◽

Auxiliary Equation ◽

Art Integration ◽

Auxiliary Equation Method ◽

Integration Schemes ◽

Proposed Model ◽

Non Linear

This paper considers the non-linear Kudryashov's equation, that is an extension of the well-known dual-power law of refractive index and is analog to the generalized version of anti-cubic non-linearity. The model is considered in the presence of full non-linearity. The main objective of this paper is to extract soliton solutions of the proposed model. Three state-of-the-art integration schemes, namely modified auxiliary equation method, the sine-Gordon expansion method and the tanhcoth expansion method have been employed for obtaining the desired soliton solutions.

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