Solitons and conservation laws in magneto-optic waveguides with generalized Kudryashov's equation by the unified auxiliary equation approach

Elsayed M.E. Zayed; Reham M.A. Shohib; Mohamed E.M. Alngar; Anjan Biswas; Abdul H. Kara; Anelia Dakova; Salam Khan; Hashim M. Alshehri; Milivoj R. Belic

doi:10.1016/j.ijleo.2021.167694

Solitons and conservation laws in magneto-optic waveguides with generalized Kudryashov's equation by the unified auxiliary equation approach

Elsayed M.E. Zayed
, Reham M.A. Shohib
, Mohamed E.M. Alngar
, Anjan Biswas
, Abdul H. Kara
, Anelia Dakova^*
, Salam Khan
, Hashim M. Alshehri
, Milivoj R. Belic

^*Corresponding author for this work

Zagazig University
Moscow Engineering Physics Institute
King Abdulaziz University
Sefako Makgatho Health Sciences University
Alabama A and M University
University of the Witwatersrand
University of Plovdiv "Paisii Hilendarski"
Bulgarian Academy of Sciences
University of Belgrade

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

23 Citations (Scopus)

Abstract

This is a work on recovering soliton solutions in magneto-optic waveguides that maintains Kudryashov's generalized form of nonlinear refractive index. The unified auxiliary equation approach retrieves solutions in terms of Jacobi's elliptic functions. Subsequently, the limiting approach, when modulus of ellipticity approaches zero or unity, solitons and other solutions are identified. The paper concludes with an exhibit of conservation laws to the model.

Original language	English
Article number	167694
Journal	Optik
Volume	245
DOIs	https://doi.org/10.1016/j.ijleo.2021.167694
Publication status	Published - Nov 2021
Externally published	Yes

Keywords

Kudryashov
Magneto-optic waveguide
Solitons
Unified auxiliary equation

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10.1016/j.ijleo.2021.167694

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title = "Solitons and conservation laws in magneto-optic waveguides with generalized Kudryashov's equation by the unified auxiliary equation approach",

abstract = "This is a work on recovering soliton solutions in magneto-optic waveguides that maintains Kudryashov's generalized form of nonlinear refractive index. The unified auxiliary equation approach retrieves solutions in terms of Jacobi's elliptic functions. Subsequently, the limiting approach, when modulus of ellipticity approaches zero or unity, solitons and other solutions are identified. The paper concludes with an exhibit of conservation laws to the model.",

keywords = "Kudryashov, Magneto-optic waveguide, Solitons, Unified auxiliary equation",

author = "Zayed, \{Elsayed M.E.\} and Shohib, \{Reham M.A.\} and Alngar, \{Mohamed E.M.\} and Anjan Biswas and Kara, \{Abdul H.\} and Anelia Dakova and Salam Khan and Alshehri, \{Hashim M.\} and Belic, \{Milivoj R.\}",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier GmbH",

year = "2021",

month = nov,

doi = "10.1016/j.ijleo.2021.167694",

language = "English",

volume = "245",

journal = "Optik",

issn = "0030-4026",

publisher = "Elsevier GmbH",

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TY - JOUR

T1 - Solitons and conservation laws in magneto-optic waveguides with generalized Kudryashov's equation by the unified auxiliary equation approach

AU - Zayed, Elsayed M.E.

AU - Shohib, Reham M.A.

AU - Alngar, Mohamed E.M.

AU - Biswas, Anjan

AU - Kara, Abdul H.

AU - Dakova, Anelia

AU - Khan, Salam

AU - Alshehri, Hashim M.

AU - Belic, Milivoj R.

PY - 2021/11

Y1 - 2021/11

N2 - This is a work on recovering soliton solutions in magneto-optic waveguides that maintains Kudryashov's generalized form of nonlinear refractive index. The unified auxiliary equation approach retrieves solutions in terms of Jacobi's elliptic functions. Subsequently, the limiting approach, when modulus of ellipticity approaches zero or unity, solitons and other solutions are identified. The paper concludes with an exhibit of conservation laws to the model.

AB - This is a work on recovering soliton solutions in magneto-optic waveguides that maintains Kudryashov's generalized form of nonlinear refractive index. The unified auxiliary equation approach retrieves solutions in terms of Jacobi's elliptic functions. Subsequently, the limiting approach, when modulus of ellipticity approaches zero or unity, solitons and other solutions are identified. The paper concludes with an exhibit of conservation laws to the model.

KW - Kudryashov

KW - Magneto-optic waveguide

KW - Solitons

KW - Unified auxiliary equation

UR - https://www.scopus.com/pages/publications/85111513767

U2 - 10.1016/j.ijleo.2021.167694

DO - 10.1016/j.ijleo.2021.167694

M3 - Article

AN - SCOPUS:85111513767

SN - 0030-4026

VL - 245

JO - Optik

JF - Optik

M1 - 167694

ER -

Solitons and conservation laws in magneto-optic waveguides with generalized Kudryashov's equation by the unified auxiliary equation approach

Abstract

Keywords

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