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 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.

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.

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

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

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

2020 ◽  
Vol 66 ◽  
pp. 187-205 ◽  
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

Chirp-free optical solitons in fiber Bragg gratings with dispersive reflectivity having polynomial law of nonlinearity

Optik ◽  
2021 ◽  
Vol 225 ◽  
pp. 165681
Author(s):  
Aly R. Seadawy ◽  
Hamdy M. Ahmed ◽  
Wafaa B. Rabie ◽  
Anjan Biswas
Keyword(s):  
Fiber Bragg Gratings ◽  
Bragg Gratings ◽  
Optical Solitons

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

Optik ◽  
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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