Conservation laws for pure-cubic optical solitons with complex Ginzburg–Landau equation having several refractive index structures

Anjan Biswas; Abdul H. Kara; Yunzhou Sun; Qin Zhou; Yakup Yıldırım; Hashim M. Alshehri; Milivoj R. Belic

doi:10.1016/j.rinp.2021.104901

Conservation laws for pure-cubic optical solitons with complex Ginzburg–Landau equation having several refractive index structures

Anjan Biswas
, Abdul H. Kara
, Yunzhou Sun^*
, Qin Zhou
, Yakup Yıldırım
, Hashim M. Alshehri
, Milivoj R. Belic

^*Corresponding author for this work

National Research Nuclear University
King Abdulaziz University
Sefako Makgatho Health Sciences University
Alabama A and M University
University of the Witwatersrand
Wuhan Textile University
Near East University
University of Belgrade

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

35 Citations (Scopus)

Abstract

This paper derives the conserved densities for the perturbed complex Ginzburg–Landau model which is addressed with a range of nonlinear forms. The densities are derived with the implementation of Lie symmetry analysis while the conserved quantities are obtained from the soliton solutions to the model. For two such nonlinear forms the Hamiltonian cease to exist since the corresponding integrals are rendered divergent.

Original language	English
Article number	104901
Journal	Results in Physics
Volume	31
DOIs	https://doi.org/10.1016/j.rinp.2021.104901
Publication status	Published - Dec 2021
Externally published	Yes

Keywords

060.2310
060.4510
060.5530
190.3270
190.4370
Conservation laws
Ginzburg–Landau equation
Solitons

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10.1016/j.rinp.2021.104901

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abstract = "This paper derives the conserved densities for the perturbed complex Ginzburg–Landau model which is addressed with a range of nonlinear forms. The densities are derived with the implementation of Lie symmetry analysis while the conserved quantities are obtained from the soliton solutions to the model. For two such nonlinear forms the Hamiltonian cease to exist since the corresponding integrals are rendered divergent.",

keywords = "060.2310, 060.4510, 060.5530, 190.3270, 190.4370, Conservation laws, Ginzburg–Landau equation, Solitons",

author = "Anjan Biswas and Kara, \{Abdul H.\} and Yunzhou Sun and Qin Zhou and Yakup Yıldırım and Alshehri, \{Hashim M.\} and Belic, \{Milivoj R.\}",

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year = "2021",

month = dec,

doi = "10.1016/j.rinp.2021.104901",

language = "English",

volume = "31",

journal = "Results in Physics",

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T1 - Conservation laws for pure-cubic optical solitons with complex Ginzburg–Landau equation having several refractive index structures

AU - Biswas, Anjan

AU - Kara, Abdul H.

AU - Sun, Yunzhou

AU - Zhou, Qin

AU - Yıldırım, Yakup

AU - Alshehri, Hashim M.

AU - Belic, Milivoj R.

PY - 2021/12

Y1 - 2021/12

N2 - This paper derives the conserved densities for the perturbed complex Ginzburg–Landau model which is addressed with a range of nonlinear forms. The densities are derived with the implementation of Lie symmetry analysis while the conserved quantities are obtained from the soliton solutions to the model. For two such nonlinear forms the Hamiltonian cease to exist since the corresponding integrals are rendered divergent.

AB - This paper derives the conserved densities for the perturbed complex Ginzburg–Landau model which is addressed with a range of nonlinear forms. The densities are derived with the implementation of Lie symmetry analysis while the conserved quantities are obtained from the soliton solutions to the model. For two such nonlinear forms the Hamiltonian cease to exist since the corresponding integrals are rendered divergent.

KW - 060.2310

KW - 060.4510

KW - 060.5530

KW - 190.3270

KW - 190.4370

KW - Conservation laws

KW - Ginzburg–Landau equation

KW - Solitons

UR - https://www.scopus.com/pages/publications/85118745792

U2 - 10.1016/j.rinp.2021.104901

DO - 10.1016/j.rinp.2021.104901

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SN - 2211-3797

VL - 31

JO - Results in Physics

JF - Results in Physics

M1 - 104901

ER -

Conservation laws for pure-cubic optical solitons with complex Ginzburg–Landau equation having several refractive index structures

Abstract

Keywords

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