Implicit quiescent optical solitons for perturbed Fokas–Lenells equation with nonlinear chromatic dispersion and a couple of self-phase modulation structures by Lie symmetry

Abdullahi Rashid Adem; Anjan Biswas; Yakup Yildirim

doi:10.15407/spqeo28.01.047

Implicit quiescent optical solitons for perturbed Fokas–Lenells equation with nonlinear chromatic dispersion and a couple of self-phase modulation structures by Lie symmetry

Abdullahi Rashid Adem
, Anjan Biswas^*
, Yakup Yildirim

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

The paper retrieves implicit quiescent optical solitons to the perturbed Fokas– Lenells equation that is considered with nonlinear chromatic dispersion and a couple of self-phase modulation structures. They are quadratic-cubic and quadratic-cubic-quartic forms along with their respective generalized counterparts. The results from linear temporal evolution as well as generalized temporal evolution formats are presented. Lie symmetry analysis is the integration tool implemented in the work.

Original language	English
Pages (from-to)	47-52
Number of pages	6
Journal	Semiconductor Physics, Quantum Electronics and Optoelectronics
Volume	28
Issue number	1
DOIs	https://doi.org/10.15407/spqeo28.01.047
Publication status	Published - 2025
Externally published	Yes

Keywords

Appell hypergeometric function
Lie symmetry
elliptic integral
quadrature
solitons

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10.15407/spqeo28.01.047

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title = "Implicit quiescent optical solitons for perturbed Fokas–Lenells equation with nonlinear chromatic dispersion and a couple of self-phase modulation structures by Lie symmetry",

abstract = "The paper retrieves implicit quiescent optical solitons to the perturbed Fokas– Lenells equation that is considered with nonlinear chromatic dispersion and a couple of self-phase modulation structures. They are quadratic-cubic and quadratic-cubic-quartic forms along with their respective generalized counterparts. The results from linear temporal evolution as well as generalized temporal evolution formats are presented. Lie symmetry analysis is the integration tool implemented in the work.",

keywords = "Appell hypergeometric function, Lie symmetry, elliptic integral, quadrature, solitons",

author = "Adem, \{Abdullahi Rashid\} and Anjan Biswas and Yakup Yildirim",

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doi = "10.15407/spqeo28.01.047",

language = "English",

volume = "28",

pages = "47--52",

journal = "Semiconductor Physics, Quantum Electronics and Optoelectronics",

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publisher = "National Academy of Sciences of Ukraine - Institute of Semiconductor Physics",

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Implicit quiescent optical solitons for perturbed Fokas–Lenells equation with nonlinear chromatic dispersion and a couple of self-phase modulation structures by Lie symmetry. / Adem, Abdullahi Rashid; Biswas, Anjan; Yildirim, Yakup.
In: Semiconductor Physics, Quantum Electronics and Optoelectronics, Vol. 28, No. 1, 2025, p. 47-52.

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

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AU - Adem, Abdullahi Rashid

AU - Biswas, Anjan

AU - Yildirim, Yakup

N1 - Publisher Copyright: © V. Lashkaryov Institute of Semiconductor Physics of the NAS of Ukraine, 2025 © Publisher PH “Akademperiodyka” of the NAS of Ukraine, 2025 047.

PY - 2025

Y1 - 2025

N2 - The paper retrieves implicit quiescent optical solitons to the perturbed Fokas– Lenells equation that is considered with nonlinear chromatic dispersion and a couple of self-phase modulation structures. They are quadratic-cubic and quadratic-cubic-quartic forms along with their respective generalized counterparts. The results from linear temporal evolution as well as generalized temporal evolution formats are presented. Lie symmetry analysis is the integration tool implemented in the work.

AB - The paper retrieves implicit quiescent optical solitons to the perturbed Fokas– Lenells equation that is considered with nonlinear chromatic dispersion and a couple of self-phase modulation structures. They are quadratic-cubic and quadratic-cubic-quartic forms along with their respective generalized counterparts. The results from linear temporal evolution as well as generalized temporal evolution formats are presented. Lie symmetry analysis is the integration tool implemented in the work.

KW - Appell hypergeometric function

KW - Lie symmetry

KW - elliptic integral

KW - quadrature

KW - solitons

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DO - 10.15407/spqeo28.01.047

M3 - Article

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SN - 1560-8034

VL - 28

SP - 47

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JO - Semiconductor Physics, Quantum Electronics and Optoelectronics

JF - Semiconductor Physics, Quantum Electronics and Optoelectronics

IS - 1

ER -

Implicit quiescent optical solitons for perturbed Fokas–Lenells equation with nonlinear chromatic dispersion and a couple of self-phase modulation structures by Lie symmetry

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Keywords

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