Solitons and conservation laws in magneto–optic waveguides with generalized Kudryashov's equation

Elsayed M.E. Zayed; Mohamed E.M. Alngar; Anjan Biswas; Abdul H. Kara; Mir Asma; Mehmet Ekici; Salam Khan; Abdullah K. Alzahrani; Milivoj R. Belic

doi:10.1016/j.cjph.2020.11.026

Solitons and conservation laws in magneto–optic waveguides with generalized Kudryashov's equation

Elsayed M.E. Zayed
, Mohamed E.M. Alngar
, Anjan Biswas
, Abdul H. Kara
, Mir Asma
, Mehmet Ekici^*
, Salam Khan
, Abdullah K. Alzahrani
, Milivoj R. Belic

^*Corresponding author for this work

Zagazig University
Alabama A and M University
King Abdulaziz University
Moscow Engineering Physics Institute
University of the Witwatersrand
University of Malaya
Yozgat Bozok University
Texas A&M University at Qatar

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

39 Citations (Scopus)

Abstract

The modified sub–ODE approach secures optical soliton solutions in magneto–optic waveguides with generalized Kudryashov's equation. The solutions are initially drafted in terms of Jacobi's elliptic functions. The limiting process, when the modulus of ellipticity approaches zero or unity, the soliton solutions emerge. A few solutions in terms of Weierstrass’ elliptic functions are also revealed. Finally, the conservation laws are computed for the model using the multiplier approach.

Original language	English
Pages (from-to)	186-205
Number of pages	20
Journal	Chinese Journal of Physics
Volume	69
DOIs	https://doi.org/10.1016/j.cjph.2020.11.026
Publication status	Published - Feb 2021
Externally published	Yes

Keywords

060.2310
060.4510
060.5530
190.3270
190.4370
Generalized Kudryashov's equation
Magneto–optic
Solitons

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10.1016/j.cjph.2020.11.026

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title = "Solitons and conservation laws in magneto–optic waveguides with generalized Kudryashov's equation",

abstract = "The modified sub–ODE approach secures optical soliton solutions in magneto–optic waveguides with generalized Kudryashov's equation. The solutions are initially drafted in terms of Jacobi's elliptic functions. The limiting process, when the modulus of ellipticity approaches zero or unity, the soliton solutions emerge. A few solutions in terms of Weierstrass{\textquoteright} elliptic functions are also revealed. Finally, the conservation laws are computed for the model using the multiplier approach.",

keywords = "060.2310, 060.4510, 060.5530, 190.3270, 190.4370, Generalized Kudryashov's equation, Magneto–optic, Solitons",

author = "Zayed, \{Elsayed M.E.\} and Alngar, \{Mohamed E.M.\} and Anjan Biswas and Kara, \{Abdul H.\} and Mir Asma and Mehmet Ekici and Salam Khan and Alzahrani, \{Abdullah K.\} and Belic, \{Milivoj R.\}",

note = "Publisher Copyright: {\textcopyright} 2020 The Physical Society of the Republic of China (Taiwan)",

year = "2021",

month = feb,

doi = "10.1016/j.cjph.2020.11.026",

language = "English",

volume = "69",

pages = "186--205",

journal = "Chinese Journal of Physics",

issn = "0577-9073",

publisher = "Elsevier B.V.",

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T1 - Solitons and conservation laws in magneto–optic waveguides with generalized Kudryashov's equation

AU - Zayed, Elsayed M.E.

AU - Alngar, Mohamed E.M.

AU - Biswas, Anjan

AU - Kara, Abdul H.

AU - Asma, Mir

AU - Ekici, Mehmet

AU - Khan, Salam

AU - Alzahrani, Abdullah K.

AU - Belic, Milivoj R.

PY - 2021/2

Y1 - 2021/2

N2 - The modified sub–ODE approach secures optical soliton solutions in magneto–optic waveguides with generalized Kudryashov's equation. The solutions are initially drafted in terms of Jacobi's elliptic functions. The limiting process, when the modulus of ellipticity approaches zero or unity, the soliton solutions emerge. A few solutions in terms of Weierstrass’ elliptic functions are also revealed. Finally, the conservation laws are computed for the model using the multiplier approach.

AB - The modified sub–ODE approach secures optical soliton solutions in magneto–optic waveguides with generalized Kudryashov's equation. The solutions are initially drafted in terms of Jacobi's elliptic functions. The limiting process, when the modulus of ellipticity approaches zero or unity, the soliton solutions emerge. A few solutions in terms of Weierstrass’ elliptic functions are also revealed. Finally, the conservation laws are computed for the model using the multiplier approach.

KW - 060.2310

KW - 060.4510

KW - 060.5530

KW - 190.3270

KW - 190.4370

KW - Generalized Kudryashov's equation

KW - Magneto–optic

KW - Solitons

UR - https://www.scopus.com/pages/publications/85098684038

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DO - 10.1016/j.cjph.2020.11.026

M3 - Article

AN - SCOPUS:85098684038

SN - 0577-9073

VL - 69

SP - 186

EP - 205

JO - Chinese Journal of Physics

JF - Chinese Journal of Physics

ER -

Solitons and conservation laws in magneto–optic waveguides with generalized Kudryashov's equation

Abstract

Keywords

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