Conservation laws for cubic–quartic optical solitons with complex Ginzburg–Landau equation having five nonlinear refractive index structures

Anjan Biswas; Abdul H. Kara; Salam Khan; Yakup Yidirim; M. F. Mahmood; Hashim M. Alshehri; Milivoj R. Belic

Conservation laws for cubic–quartic optical solitons with complex Ginzburg–Landau equation having five nonlinear refractive index structures

Anjan Biswas^*, Abdul H. Kara, Salam Khan, Yakup Yidirim, M. F. Mahmood, Hashim M. Alshehri, Milivoj R. Belic

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

This paper recovers and exhibits the conservation law for cubic–quartic complex Ginzburg–Landau model which are considered with five nonlinear forms. The Hamiltonian, linear momentum and the power are derived, save one. For parabolic–nonlocal law, the Hamiltonian and the linear momentum are not retrievable by Lie symmetry.

Original language	English
Pages (from-to)	137-141
Number of pages	5
Journal	Optoelectronics and Advanced Materials, Rapid Communications
Volume	16
Issue number	3-4
Publication status	Published - 1 Mar 2022
Externally published	Yes

Keywords

Conservation laws
Cubic–quartic solitons
Ginzburg-Landau equation

Cite this

@article{4c30f798d0f94f47978c89fae1a1948c,

title = "Conservation laws for cubic–quartic optical solitons with complex Ginzburg–Landau equation having five nonlinear refractive index structures",

abstract = "This paper recovers and exhibits the conservation law for cubic–quartic complex Ginzburg–Landau model which are considered with five nonlinear forms. The Hamiltonian, linear momentum and the power are derived, save one. For parabolic–nonlocal law, the Hamiltonian and the linear momentum are not retrievable by Lie symmetry.",

keywords = "Conservation laws, Cubic–quartic solitons, Ginzburg-Landau equation",

author = "Anjan Biswas and Kara, {Abdul H.} and Salam Khan and Yakup Yidirim and Mahmood, {M. F.} and Alshehri, {Hashim M.} and Belic, {Milivoj R.}",

year = "2022",

month = mar,

day = "1",

language = "English",

volume = "16",

pages = "137--141",

journal = "Optoelectronics and Advanced Materials, Rapid Communications",

issn = "1842-6573",

publisher = "National Institute of Optoelectronics",

number = "3-4",

}

Conservation laws for cubic–quartic optical solitons with complex Ginzburg–Landau equation having five nonlinear refractive index structures. / Biswas, Anjan; Kara, Abdul H.; Khan, Salam et al.
In: Optoelectronics and Advanced Materials, Rapid Communications, Vol. 16, No. 3-4, 01.03.2022, p. 137-141.

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

TY - JOUR

T1 - Conservation laws for cubic–quartic optical solitons with complex Ginzburg–Landau equation having five nonlinear refractive index structures

AU - Biswas, Anjan

AU - Kara, Abdul H.

AU - Khan, Salam

AU - Yidirim, Yakup

AU - Mahmood, M. F.

AU - Alshehri, Hashim M.

AU - Belic, Milivoj R.

PY - 2022/3/1

Y1 - 2022/3/1

N2 - This paper recovers and exhibits the conservation law for cubic–quartic complex Ginzburg–Landau model which are considered with five nonlinear forms. The Hamiltonian, linear momentum and the power are derived, save one. For parabolic–nonlocal law, the Hamiltonian and the linear momentum are not retrievable by Lie symmetry.

AB - This paper recovers and exhibits the conservation law for cubic–quartic complex Ginzburg–Landau model which are considered with five nonlinear forms. The Hamiltonian, linear momentum and the power are derived, save one. For parabolic–nonlocal law, the Hamiltonian and the linear momentum are not retrievable by Lie symmetry.

KW - Conservation laws

KW - Cubic–quartic solitons

KW - Ginzburg-Landau equation

UR - http://www.scopus.com/inward/record.url?scp=85132421995&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85132421995

SN - 1842-6573

VL - 16

SP - 137

EP - 141

JO - Optoelectronics and Advanced Materials, Rapid Communications

JF - Optoelectronics and Advanced Materials, Rapid Communications

IS - 3-4

ER -

Conservation laws for cubic–quartic optical solitons with complex Ginzburg–Landau equation having five nonlinear refractive index structures

Abstract

Keywords

Other files and links

Fingerprint

Cite this