Optical soliton perturbation with Kudryashov's law of refractive index by modified sub-ODE approach

Elsayed M.E. Zayed; Mohamed E.M. Alngar; Reham M.A. Shohib; Salam Khan; Anjan Biswas; Anelia Dakova; Abdullah Khamis Alzahrani; Milivoj R. Belic

doi:10.1142/S0218863521500041

Optical soliton perturbation with Kudryashov's law of refractive index by modified sub-ODE approach

Elsayed M.E. Zayed, Mohamed E.M. Alngar, Reham M.A. Shohib, Salam Khan^*, Anjan Biswas, Anelia Dakova, Abdullah Khamis Alzahrani, Milivoj R. Belic

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

This paper implements the sub-ODE method and a wide spectrum of solitons are recovered for Kudryashov's law of refractive index. The self-phase modulation comprises of four nonlinear components of refractive index. The perturbation terms are all of Hamiltonian type and are considered with maximum intensity. The solutions are written in terms of Weierstrass' elliptic functions and Jacobi's elliptic function. With the modulus of ellipticity approaching zero or unity, soliton solutions emerge.

Original language	English
Article number	2150004
Journal	Journal of Nonlinear Optical Physics and Materials
Volume	30
Issue number	1-2
DOIs	https://doi.org/10.1142/S0218863521500041
Publication status	Published - 1 Mar 2021
Externally published	Yes

Keywords

Kudryashov
solitons
sub-ODE

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10.1142/S0218863521500041

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title = "Optical soliton perturbation with Kudryashov's law of refractive index by modified sub-ODE approach",

abstract = "This paper implements the sub-ODE method and a wide spectrum of solitons are recovered for Kudryashov's law of refractive index. The self-phase modulation comprises of four nonlinear components of refractive index. The perturbation terms are all of Hamiltonian type and are considered with maximum intensity. The solutions are written in terms of Weierstrass' elliptic functions and Jacobi's elliptic function. With the modulus of ellipticity approaching zero or unity, soliton solutions emerge.",

keywords = "Kudryashov, solitons, sub-ODE",

author = "Zayed, {Elsayed M.E.} and Alngar, {Mohamed E.M.} and Shohib, {Reham M.A.} and Salam Khan and Anjan Biswas and Anelia Dakova and Alzahrani, {Abdullah Khamis} and Belic, {Milivoj R.}",

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T1 - Optical soliton perturbation with Kudryashov's law of refractive index by modified sub-ODE approach

AU - Zayed, Elsayed M.E.

AU - Alngar, Mohamed E.M.

AU - Shohib, Reham M.A.

AU - Khan, Salam

AU - Biswas, Anjan

AU - Dakova, Anelia

AU - Alzahrani, Abdullah Khamis

AU - Belic, Milivoj R.

PY - 2021/3/1

Y1 - 2021/3/1

N2 - This paper implements the sub-ODE method and a wide spectrum of solitons are recovered for Kudryashov's law of refractive index. The self-phase modulation comprises of four nonlinear components of refractive index. The perturbation terms are all of Hamiltonian type and are considered with maximum intensity. The solutions are written in terms of Weierstrass' elliptic functions and Jacobi's elliptic function. With the modulus of ellipticity approaching zero or unity, soliton solutions emerge.

AB - This paper implements the sub-ODE method and a wide spectrum of solitons are recovered for Kudryashov's law of refractive index. The self-phase modulation comprises of four nonlinear components of refractive index. The perturbation terms are all of Hamiltonian type and are considered with maximum intensity. The solutions are written in terms of Weierstrass' elliptic functions and Jacobi's elliptic function. With the modulus of ellipticity approaching zero or unity, soliton solutions emerge.

KW - Kudryashov

KW - solitons

KW - sub-ODE

UR - http://www.scopus.com/inward/record.url?scp=85115890440&partnerID=8YFLogxK

U2 - 10.1142/S0218863521500041

DO - 10.1142/S0218863521500041

M3 - Article

AN - SCOPUS:85115890440

SN - 0218-8635

VL - 30

JO - Journal of Nonlinear Optical Physics and Materials

JF - Journal of Nonlinear Optical Physics and Materials

IS - 1-2

M1 - 2150004

ER -

Optical soliton perturbation with Kudryashov's law of refractive index by modified sub-ODE approach

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Keywords

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