Cubic-quartic optical solitons in Bragg gratings fibers for NLSE having parabolic non-local law nonlinearity using two integration schemes

Abstract From the point power of view of the extended simple equation method, multiple new private distinct types for the cubic-quartic optical soliton birefringent fibers with four forms nonlinear refractive index which have and play a vital effective effect in all modern telecommunications process have been extracted. The suggested method which continuously gives surprise accurate results for most nonlinear science problem has been implemented to extract multiple new accurate cubic-quartic soliton for the different forms of the NLSE which are, the cubic-quartic in polarization-preserving fibers with the kerr-low nonlinearity, quadratic-cubic law nonlinearity, parabolic law nonlinearity and non-local law nonlinearity. Actual comparison between the achieved results and that demonstrated by other authors has been established.

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

Оптика и спектроскопия ◽

10.21883/os.2021.11.51648.1016-21 ◽

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.

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

Optical and Quantum Electronics ◽

10.1007/s11082-021-03385-x ◽

2021 ◽

Vol 54 (1) ◽

Author(s):

Elsayed M. E. Zayed ◽

Reham M. A. Shohib ◽

Mohamed E. M. Alngar

Keyword(s):

Bragg Gratings ◽

Optical Solitons ◽

Integration Schemes

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

Optik ◽

10.1016/j.ijleo.2021.167635 ◽

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

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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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Accurate Impressive Optical Solitons For Nonlinear Refractive Index Cubic-Quartic through Birefringent Fibers

10.21203/rs.3.rs-1026889/v1 ◽

2021 ◽

Author(s):

Emad H.M. Zahran ◽

Ahmet Bekir

Keyword(s):

Refractive Index ◽

Nonlinear Refractive Index ◽

Optical Solitons ◽

Vital Role ◽

Ansatz Method ◽

Parabolic Law ◽

Kerr Law ◽

Main Target ◽

Non Local ◽

Local Law

Abstract The main target of this work implements new accurate impressive optical solitons for four forms of the nonlinear refractive index cubic-quartic through birefringent fibers which play a vital role in all modern telecommunications process. These four different forms listed under whose profile names which are the cubic-quartic in polarization-preserving fibers with its different forms which are the kerr-law, the quadratic-law, the parabolic-law and the non-local-law NLSE. These new accurate optical solitons for these different forms are extracted in the framework of the solitary wave ansatz method (SWAM) which is powerful technique that achieves accurate results for all problems that are solved in the framework of it. The achieved results will be compared by the previous results which are achieved via other authors.

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