scholarly journals Optical solitons in Bragg gratings fibers for the nonlinear (2+1)-dimensional Kundu–Mukherjee–Naskar equation using two integration schemes

2021 ◽  
Vol 54 (1) ◽  
Author(s):  
Elsayed M. E. Zayed ◽  
Reham M. A. Shohib ◽  
Mohamed E. M. Alngar
2021 ◽  
Vol 129 (11) ◽  
pp. 1409
Author(s):  
Elsayed M.E. Zayed ◽  
Mohamed E.M. Alngar ◽  
Anjan Biswas ◽  
Mehmet Ekici ◽  
Padmaja Guggilla ◽  
...  

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.


Optik ◽  
2021 ◽  
pp. 167635
Author(s):  
Elsayed M.E. Zayed ◽  
Reham M.A. Shohib ◽  
Mohamed E.M. Alngar ◽  
Yakup Yıldırım

2021 ◽  
Author(s):  
Elsayed M. E. Zayed ◽  
Mohamed E. M. Alngar

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.


2021 ◽  
Author(s):  
Elsayed M. E. Zayed ◽  
Reham Shohib ◽  
Mohamed E. M. Alngar

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.


Optik ◽  
2018 ◽  
Vol 165 ◽  
pp. 74-86 ◽  
Author(s):  
Anjan Biswas ◽  
Yakup Yildirim ◽  
Emrullah Yasar ◽  
Qin Zhou ◽  
Mohammad F. Mahmood ◽  
...  

2020 ◽  
Vol 65 ◽  
pp. 613-628
Author(s):  
Elsayed M.E. Zayed ◽  
Reham M.A. Shohib ◽  
Anjan Biswas ◽  
O. González-Gaxiola ◽  
Yakup Yıldırım ◽  
...  

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

Optik ◽  
2020 ◽  
Vol 203 ◽  
pp. 163993 ◽  
Author(s):  
Elsayed M.E. Zayed ◽  
Mohamed E.M. Alngar ◽  
Anjan Biswas ◽  
Houria Triki ◽  
Yakup Yıldırım ◽  
...  

Optik ◽  
2019 ◽  
Vol 185 ◽  
pp. 39-44 ◽  
Author(s):  
Anjan Biswas ◽  
Jose Vega-Guzman ◽  
Mohammad F. Mahmood ◽  
Mehmet Ekici ◽  
Qin Zhou ◽  
...  

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