Highly dispersive optical solitons in the nonlinear Schrödinger’s equation having polynomial law of the refractive index change

Elsayed M.E. Zayed; Mohamed E.M. Alngar; Mahmoud M. El-Horbaty; Anjan Biswas; Mehmet Ekici; Qin Zhou; Salam Khan; Fouad Mallawi; Milivoj R. Belic

doi:10.1007/s12648-020-01694-7

Highly dispersive optical solitons in the nonlinear Schrödinger’s equation having polynomial law of the refractive index change

Elsayed M.E. Zayed
, Mohamed E.M. Alngar^*
, Mahmoud M. El-Horbaty
, Anjan Biswas
, Mehmet Ekici
, Qin Zhou
, Salam Khan
, Fouad Mallawi
, Milivoj R. Belic

^*Corresponding author for this work

Zagazig University
Alabama A and M University
King Abdulaziz University
Tshwane University of Technology
Moscow Engineering Physics Institute
Yozgat Bozok University
Wuhan Donghu University
Texas A&M University at Qatar

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

22 Citations (Scopus)

Abstract

In this paper, we apply the unified Riccati equation expansion method, as well as two forms of auxiliary equation methodology, to find highly dispersive optical solitons in the nonlinear Schrödinger’s equation having a polynomial law of the refractive index change. Bright, dark and singular solitons as well as periodic and Jacobi elliptic solutions are obtained that are presented together with their existence criteria.

Original language	English
Pages (from-to)	109-119
Number of pages	11
Journal	Indian Journal of Physics
Volume	95
Issue number	1
DOIs	https://doi.org/10.1007/s12648-020-01694-7
Publication status	Published - Jan 2021
Externally published	Yes

Keywords

060.2310
060.4510
060.5530
190.3270
190.4370
Highly dispersive solitons
Polynomial law

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10.1007/s12648-020-01694-7

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title = "Highly dispersive optical solitons in the nonlinear Schr{\"o}dinger{\textquoteright}s equation having polynomial law of the refractive index change",

abstract = "In this paper, we apply the unified Riccati equation expansion method, as well as two forms of auxiliary equation methodology, to find highly dispersive optical solitons in the nonlinear Schr{\"o}dinger{\textquoteright}s equation having a polynomial law of the refractive index change. Bright, dark and singular solitons as well as periodic and Jacobi elliptic solutions are obtained that are presented together with their existence criteria.",

keywords = "060.2310, 060.4510, 060.5530, 190.3270, 190.4370, Highly dispersive solitons, Polynomial law",

author = "Zayed, \{Elsayed M.E.\} and Alngar, \{Mohamed E.M.\} and El-Horbaty, \{Mahmoud M.\} and Anjan Biswas and Mehmet Ekici and Qin Zhou and Salam Khan and Fouad Mallawi and Belic, \{Milivoj R.\}",

note = "Publisher Copyright: {\textcopyright} 2020, Indian Association for the Cultivation of Science.",

year = "2021",

month = jan,

doi = "10.1007/s12648-020-01694-7",

language = "English",

volume = "95",

pages = "109--119",

journal = "Indian Journal of Physics",

issn = "0973-1458",

publisher = "Indian Physical Society",

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T1 - Highly dispersive optical solitons in the nonlinear Schrödinger’s equation having polynomial law of the refractive index change

AU - Zayed, Elsayed M.E.

AU - Alngar, Mohamed E.M.

AU - El-Horbaty, Mahmoud M.

AU - Biswas, Anjan

AU - Ekici, Mehmet

AU - Zhou, Qin

AU - Khan, Salam

AU - Mallawi, Fouad

AU - Belic, Milivoj R.

PY - 2021/1

Y1 - 2021/1

N2 - In this paper, we apply the unified Riccati equation expansion method, as well as two forms of auxiliary equation methodology, to find highly dispersive optical solitons in the nonlinear Schrödinger’s equation having a polynomial law of the refractive index change. Bright, dark and singular solitons as well as periodic and Jacobi elliptic solutions are obtained that are presented together with their existence criteria.

AB - In this paper, we apply the unified Riccati equation expansion method, as well as two forms of auxiliary equation methodology, to find highly dispersive optical solitons in the nonlinear Schrödinger’s equation having a polynomial law of the refractive index change. Bright, dark and singular solitons as well as periodic and Jacobi elliptic solutions are obtained that are presented together with their existence criteria.

KW - 060.2310

KW - 060.4510

KW - 060.5530

KW - 190.3270

KW - 190.4370

KW - Highly dispersive solitons

KW - Polynomial law

UR - https://www.scopus.com/pages/publications/85079720210

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DO - 10.1007/s12648-020-01694-7

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VL - 95

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EP - 119

JO - Indian Journal of Physics

JF - Indian Journal of Physics

IS - 1

ER -

Highly dispersive optical solitons in the nonlinear Schrödinger’s equation having polynomial law of the refractive index change

Abstract

Keywords

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