Solitons and conservation laws in magneto-optic waveguides with polynomial law nonlinearity

Elsayed M.E. Zayed; Mahmoud M. El-Horbaty; Mohamed E.M. Alngar; Anjan Biswas; Abdul H. Kara; Luminita Moraru; Mehmet Ekici; Abdullah K. Alzahrani; Milivoj R. Belic

doi:10.1016/j.ijleo.2020.165397

Solitons and conservation laws in magneto-optic waveguides with polynomial law nonlinearity

Elsayed M.E. Zayed
, Mahmoud M. El-Horbaty
, Mohamed E.M. Alngar
, Anjan Biswas
, Abdul H. Kara
, Luminita Moraru
, Mehmet Ekici^*
, Abdullah K. Alzahrani
, Milivoj R. Belic

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

Two prolific integration algorithms, extended Kudryashov's method and generalized Jacobi's elliptic function expansion, led to optical soliton solutions to magneto-optic waveguides maintaining polynomial law of nonlinear refractive index. Bright, singular and combo soliton solutions have thus emerged. A couple of solutions in terms of Weierstrass’ elliptic functions are also presented. Finally, the corresponding conservation laws are enumerated.

Original language	English
Article number	165397
Journal	Optik
Volume	223
DOIs	https://doi.org/10.1016/j.ijleo.2020.165397
Publication status	Published - Dec 2020
Externally published	Yes

Keywords

Magneto-optics
Polynomial law nonlinearity
Solitons

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10.1016/j.ijleo.2020.165397

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@article{28a70399e5c64c06b1209a6c87d1a3c0,

title = "Solitons and conservation laws in magneto-optic waveguides with polynomial law nonlinearity",

abstract = "Two prolific integration algorithms, extended Kudryashov's method and generalized Jacobi's elliptic function expansion, led to optical soliton solutions to magneto-optic waveguides maintaining polynomial law of nonlinear refractive index. Bright, singular and combo soliton solutions have thus emerged. A couple of solutions in terms of Weierstrass{\textquoteright} elliptic functions are also presented. Finally, the corresponding conservation laws are enumerated.",

keywords = "Magneto-optics, Polynomial law nonlinearity, Solitons",

author = "Zayed, \{Elsayed M.E.\} and El-Horbaty, \{Mahmoud M.\} and Alngar, \{Mohamed E.M.\} and Anjan Biswas and Kara, \{Abdul H.\} and Luminita Moraru and Mehmet Ekici and Alzahrani, \{Abdullah K.\} and Belic, \{Milivoj R.\}",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier GmbH",

year = "2020",

month = dec,

doi = "10.1016/j.ijleo.2020.165397",

language = "English",

volume = "223",

journal = "Optik",

issn = "0030-4026",

publisher = "Elsevier GmbH",

}

TY - JOUR

T1 - Solitons and conservation laws in magneto-optic waveguides with polynomial law nonlinearity

AU - Zayed, Elsayed M.E.

AU - El-Horbaty, Mahmoud M.

AU - Alngar, Mohamed E.M.

AU - Biswas, Anjan

AU - Kara, Abdul H.

AU - Moraru, Luminita

AU - Ekici, Mehmet

AU - Alzahrani, Abdullah K.

AU - Belic, Milivoj R.

PY - 2020/12

Y1 - 2020/12

N2 - Two prolific integration algorithms, extended Kudryashov's method and generalized Jacobi's elliptic function expansion, led to optical soliton solutions to magneto-optic waveguides maintaining polynomial law of nonlinear refractive index. Bright, singular and combo soliton solutions have thus emerged. A couple of solutions in terms of Weierstrass’ elliptic functions are also presented. Finally, the corresponding conservation laws are enumerated.

AB - Two prolific integration algorithms, extended Kudryashov's method and generalized Jacobi's elliptic function expansion, led to optical soliton solutions to magneto-optic waveguides maintaining polynomial law of nonlinear refractive index. Bright, singular and combo soliton solutions have thus emerged. A couple of solutions in terms of Weierstrass’ elliptic functions are also presented. Finally, the corresponding conservation laws are enumerated.

KW - Magneto-optics

KW - Polynomial law nonlinearity

KW - Solitons

UR - https://www.scopus.com/pages/publications/85089802465

U2 - 10.1016/j.ijleo.2020.165397

DO - 10.1016/j.ijleo.2020.165397

M3 - Article

AN - SCOPUS:85089802465

SN - 0030-4026

VL - 223

JO - Optik

JF - Optik

M1 - 165397

ER -

Solitons and conservation laws in magneto-optic waveguides with polynomial law nonlinearity

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Keywords

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