IMPLICIT QUIESCENT OPTICAL SOLITONS FOR COMPLEX GINZBURG–LANDAU EQUATION WITH GENERALIZED QUADRATIC– CUBIC FORM OF SELF–PHASE MODULATION AND NONLINEAR CHROMATIC DISPERSION BY LIE SYMMETRY

Abdullahi Rashid Adem; Anjan Biswas; Yakup Yildirim; Anwar Jaafar Mohamad Jawad; Ali Saleh Alshomrani

doi:10.3116/16091833/Ukr.J.Phys.Opt.2024.02042

IMPLICIT QUIESCENT OPTICAL SOLITONS FOR COMPLEX GINZBURG–LANDAU EQUATION WITH GENERALIZED QUADRATIC– CUBIC FORM OF SELF–PHASE MODULATION AND NONLINEAR CHROMATIC DISPERSION BY LIE SYMMETRY

Abdullahi Rashid Adem
, Anjan Biswas
, Yakup Yildirim
, Anwar Jaafar Mohamad Jawad
, Ali Saleh Alshomrani

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

9 Citations (Scopus)

Abstract

This work is on the retrieval of quiescent optical solitons for the complex Ginzburg–Landau equation that is with nonlinear chromatic dispersion and generalized structure of quadratic–cubic form of self–phase modulation. The Lie symmetry is applied to make this retrieval possible. The model is studied with linear temporal evolutions as well as generalized temporal evolution.

Original language	English
Pages (from-to)	2036-2041
Number of pages	6
Journal	Ukrainian Journal of Physical Optics
Volume	25
Issue number	2
DOIs	https://doi.org/10.3116/16091833/Ukr.J.Phys.Opt.2024.02042
Publication status	Published - 2024
Externally published	Yes

Keywords

Lie symmetry
quiescent solitons

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10.3116/16091833/Ukr.J.Phys.Opt.2024.02042

Cite this

Adem, A. R., Biswas, A., Yildirim, Y., Jawad, A. J. M., & Alshomrani, A. S. (2024). IMPLICIT QUIESCENT OPTICAL SOLITONS FOR COMPLEX GINZBURG–LANDAU EQUATION WITH GENERALIZED QUADRATIC– CUBIC FORM OF SELF–PHASE MODULATION AND NONLINEAR CHROMATIC DISPERSION BY LIE SYMMETRY. Ukrainian Journal of Physical Optics, 25(2), 2036-2041. https://doi.org/10.3116/16091833/Ukr.J.Phys.Opt.2024.02042

@article{0405105c5f7342c6adcaaebb1befc64b,

title = "IMPLICIT QUIESCENT OPTICAL SOLITONS FOR COMPLEX GINZBURG{\textendash}LANDAU EQUATION WITH GENERALIZED QUADRATIC{\textendash} CUBIC FORM OF SELF{\textendash}PHASE MODULATION AND NONLINEAR CHROMATIC DISPERSION BY LIE SYMMETRY",

abstract = "This work is on the retrieval of quiescent optical solitons for the complex Ginzburg{\textendash}Landau equation that is with nonlinear chromatic dispersion and generalized structure of quadratic{\textendash}cubic form of self{\textendash}phase modulation. The Lie symmetry is applied to make this retrieval possible. The model is studied with linear temporal evolutions as well as generalized temporal evolution.",

keywords = "Lie symmetry, quiescent solitons",

author = "Adem, \{Abdullahi Rashid\} and Anjan Biswas and Yakup Yildirim and Jawad, \{Anwar Jaafar Mohamad\} and Alshomrani, \{Ali Saleh\}",

year = "2024",

doi = "10.3116/16091833/Ukr.J.Phys.Opt.2024.02042",

language = "English",

volume = "25",

pages = "2036--2041",

journal = "Ukrainian Journal of Physical Optics",

issn = "1609-1833",

publisher = "Institute of Physical Optics",

number = "2",

}

Adem, AR, Biswas, A, Yildirim, Y, Jawad, AJM & Alshomrani, AS 2024, 'IMPLICIT QUIESCENT OPTICAL SOLITONS FOR COMPLEX GINZBURG–LANDAU EQUATION WITH GENERALIZED QUADRATIC– CUBIC FORM OF SELF–PHASE MODULATION AND NONLINEAR CHROMATIC DISPERSION BY LIE SYMMETRY', Ukrainian Journal of Physical Optics, vol. 25, no. 2, pp. 2036-2041. https://doi.org/10.3116/16091833/Ukr.J.Phys.Opt.2024.02042

IMPLICIT QUIESCENT OPTICAL SOLITONS FOR COMPLEX GINZBURG–LANDAU EQUATION WITH GENERALIZED QUADRATIC– CUBIC FORM OF SELF–PHASE MODULATION AND NONLINEAR CHROMATIC DISPERSION BY LIE SYMMETRY. / Adem, Abdullahi Rashid; Biswas, Anjan; Yildirim, Yakup et al.
In: Ukrainian Journal of Physical Optics, Vol. 25, No. 2, 2024, p. 2036-2041.

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

TY - JOUR

T1 - IMPLICIT QUIESCENT OPTICAL SOLITONS FOR COMPLEX GINZBURG–LANDAU EQUATION WITH GENERALIZED QUADRATIC– CUBIC FORM OF SELF–PHASE MODULATION AND NONLINEAR CHROMATIC DISPERSION BY LIE SYMMETRY

AU - Adem, Abdullahi Rashid

AU - Biswas, Anjan

AU - Yildirim, Yakup

AU - Jawad, Anwar Jaafar Mohamad

AU - Alshomrani, Ali Saleh

PY - 2024

Y1 - 2024

N2 - This work is on the retrieval of quiescent optical solitons for the complex Ginzburg–Landau equation that is with nonlinear chromatic dispersion and generalized structure of quadratic–cubic form of self–phase modulation. The Lie symmetry is applied to make this retrieval possible. The model is studied with linear temporal evolutions as well as generalized temporal evolution.

AB - This work is on the retrieval of quiescent optical solitons for the complex Ginzburg–Landau equation that is with nonlinear chromatic dispersion and generalized structure of quadratic–cubic form of self–phase modulation. The Lie symmetry is applied to make this retrieval possible. The model is studied with linear temporal evolutions as well as generalized temporal evolution.

KW - Lie symmetry

KW - quiescent solitons

UR - https://www.scopus.com/pages/publications/85194184632

U2 - 10.3116/16091833/Ukr.J.Phys.Opt.2024.02042

DO - 10.3116/16091833/Ukr.J.Phys.Opt.2024.02042

M3 - Article

AN - SCOPUS:85194184632

SN - 1609-1833

VL - 25

SP - 2036

EP - 2041

JO - Ukrainian Journal of Physical Optics

JF - Ukrainian Journal of Physical Optics

IS - 2

ER -

IMPLICIT QUIESCENT OPTICAL SOLITONS FOR COMPLEX GINZBURG–LANDAU EQUATION WITH GENERALIZED QUADRATIC– CUBIC FORM OF SELF–PHASE MODULATION AND NONLINEAR CHROMATIC DISPERSION BY LIE SYMMETRY

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Keywords

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