Optical solitons for the concatenation model with multiplicative white noise

Elsayed M.E. Zayed; Ahmed H. Arnous; Anjan Biswas; Yakup Yıldırım; Asim Asiri

doi:10.1007/s12596-023-01381-w

Optical solitons for the concatenation model with multiplicative white noise

Elsayed M.E. Zayed, Ahmed H. Arnous, Anjan Biswas^*, Yakup Yıldırım, Asim Asiri

^*Corresponding author for this work

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

13 Citations (Scopus)

Abstract

The examination of the concatenation model with spatio-temporal dispersion, Kerr law nonlinearity, and several Hamiltonian perturbation terms, in addition to the influence of multiplicative white noise, is the subject of this paper. The application of two integration approaches allows us the solutions of the model, revealing a comprehensive set of 1-soliton solutions. The enhanced Kudryashov’s mechanism and the Weistrass’ type Riccati’s projective equation approach are the two approaches utilized in this research. Soliton solutions with a unique set of parameter values are obtained through the utilization of Weierstrass elliptic functions, which are derived via the Weistrass’ type Riccati’s projective equation approach.

Original language	English
Pages (from-to)	3098-3107
Number of pages	10
Journal	Journal of Optics (India)
Volume	53
Issue number	4
DOIs	https://doi.org/10.1007/s12596-023-01381-w
Publication status	Published - Sept 2024
Externally published	Yes

Keywords

060.2310
060.4510
060.5530
190.3270
190.4370
Concatenation
Kudryashov
Solitons
Weierstrass
White noise

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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Cite this

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title = "Optical solitons for the concatenation model with multiplicative white noise",

abstract = "The examination of the concatenation model with spatio-temporal dispersion, Kerr law nonlinearity, and several Hamiltonian perturbation terms, in addition to the influence of multiplicative white noise, is the subject of this paper. The application of two integration approaches allows us the solutions of the model, revealing a comprehensive set of 1-soliton solutions. The enhanced Kudryashov{\textquoteright}s mechanism and the Weistrass{\textquoteright} type Riccati{\textquoteright}s projective equation approach are the two approaches utilized in this research. Soliton solutions with a unique set of parameter values are obtained through the utilization of Weierstrass elliptic functions, which are derived via the Weistrass{\textquoteright} type Riccati{\textquoteright}s projective equation approach.",

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author = "Zayed, {Elsayed M.E.} and Arnous, {Ahmed H.} and Anjan Biswas and Yakup Yıldırım and Asim Asiri",

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doi = "10.1007/s12596-023-01381-w",

language = "English",

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AU - Zayed, Elsayed M.E.

AU - Arnous, Ahmed H.

AU - Biswas, Anjan

AU - Yıldırım, Yakup

AU - Asiri, Asim

N1 - Publisher Copyright: © The Author(s), under exclusive licence to The Optical Society of India 2023.

PY - 2024/9

Y1 - 2024/9

N2 - The examination of the concatenation model with spatio-temporal dispersion, Kerr law nonlinearity, and several Hamiltonian perturbation terms, in addition to the influence of multiplicative white noise, is the subject of this paper. The application of two integration approaches allows us the solutions of the model, revealing a comprehensive set of 1-soliton solutions. The enhanced Kudryashov’s mechanism and the Weistrass’ type Riccati’s projective equation approach are the two approaches utilized in this research. Soliton solutions with a unique set of parameter values are obtained through the utilization of Weierstrass elliptic functions, which are derived via the Weistrass’ type Riccati’s projective equation approach.

AB - The examination of the concatenation model with spatio-temporal dispersion, Kerr law nonlinearity, and several Hamiltonian perturbation terms, in addition to the influence of multiplicative white noise, is the subject of this paper. The application of two integration approaches allows us the solutions of the model, revealing a comprehensive set of 1-soliton solutions. The enhanced Kudryashov’s mechanism and the Weistrass’ type Riccati’s projective equation approach are the two approaches utilized in this research. Soliton solutions with a unique set of parameter values are obtained through the utilization of Weierstrass elliptic functions, which are derived via the Weistrass’ type Riccati’s projective equation approach.

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KW - 060.4510

KW - 060.5530

KW - 190.3270

KW - 190.4370

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KW - Solitons

KW - Weierstrass

KW - White noise

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SP - 3098

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JO - Journal of Optics (India)

JF - Journal of Optics (India)

IS - 4

ER -

Optical solitons for the concatenation model with multiplicative white noise

Abstract

Keywords

UN SDGs

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