Highly dispersive optical soliton perturbation with Kerr law for complex Ginzburg–Landau equation

Ming Yue Wang; Anjan Biswas; Yakup Yıldırım; Maggie Aphane; Seithuti P. Moshokoa; Abdulah A. Alghamdi

doi:10.3176/proc.2024.1.02

Highly dispersive optical soliton perturbation with Kerr law for complex Ginzburg–Landau equation

Ming Yue Wang
, Anjan Biswas^*
, Yakup Yıldırım
, Maggie Aphane
, Seithuti P. Moshokoa
, Abdulah A. Alghamdi

^*Corresponding author for this work

Mathematics and Applied Mathematics

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

Abstract

In this paper, highly dispersive optical solitons are obtained with the perturbed complex Ginzburg–Landau equation, incorporating the Kerr law of nonlinearity, by the complete discriminant classification approach. A variety of solutions emerge from this scheme that include solitons, periodic solutions and doubly periodic solutions. The numerical sketches support the analytical findings.

Original language	English
Pages (from-to)	6-16
Number of pages	11
Journal	Proceedings of the Estonian Academy of Sciences
Volume	73
Issue number	1
DOIs	https://doi.org/10.3176/proc.2024.1.02
Publication status	Published - 2024

Keywords

discriminant classification
dispersive
solitons

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10.3176/proc.2024.1.02

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abstract = "In this paper, highly dispersive optical solitons are obtained with the perturbed complex Ginzburg–Landau equation, incorporating the Kerr law of nonlinearity, by the complete discriminant classification approach. A variety of solutions emerge from this scheme that include solitons, periodic solutions and doubly periodic solutions. The numerical sketches support the analytical findings.",

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author = "Wang, \{Ming Yue\} and Anjan Biswas and Yakup Yıldırım and Maggie Aphane and Moshokoa, \{Seithuti P.\} and Alghamdi, \{Abdulah A.\}",

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AU - Wang, Ming Yue

AU - Biswas, Anjan

AU - Yıldırım, Yakup

AU - Aphane, Maggie

AU - Moshokoa, Seithuti P.

AU - Alghamdi, Abdulah A.

PY - 2024

Y1 - 2024

N2 - In this paper, highly dispersive optical solitons are obtained with the perturbed complex Ginzburg–Landau equation, incorporating the Kerr law of nonlinearity, by the complete discriminant classification approach. A variety of solutions emerge from this scheme that include solitons, periodic solutions and doubly periodic solutions. The numerical sketches support the analytical findings.

AB - In this paper, highly dispersive optical solitons are obtained with the perturbed complex Ginzburg–Landau equation, incorporating the Kerr law of nonlinearity, by the complete discriminant classification approach. A variety of solutions emerge from this scheme that include solitons, periodic solutions and doubly periodic solutions. The numerical sketches support the analytical findings.

KW - discriminant classification

KW - dispersive

KW - solitons

UR - https://www.scopus.com/pages/publications/85184148756

U2 - 10.3176/proc.2024.1.02

DO - 10.3176/proc.2024.1.02

M3 - Article

AN - SCOPUS:85184148756

SN - 1736-6046

VL - 73

SP - 6

EP - 16

JO - Proceedings of the Estonian Academy of Sciences

JF - Proceedings of the Estonian Academy of Sciences

IS - 1

ER -

Highly dispersive optical soliton perturbation with Kerr law for complex Ginzburg–Landau equation

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Keywords

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