NUMERICAL SIMULATION OF HIGHLY DISPERSIVE DARK OPTICAL SOLITONS WITH KERR LAW OF NONLINEAR REFRACTIVE INDEX BY LAPLACE–ADOMIAN DECOMPOSITION METHOD

Oswaldo González-Gaxiola; Anjan Biswas; Yakup Yildirim; Anelia Dakova

doi:10.7546/CRABS.2023.05.03

NUMERICAL SIMULATION OF HIGHLY DISPERSIVE DARK OPTICAL SOLITONS WITH KERR LAW OF NONLINEAR REFRACTIVE INDEX BY LAPLACE–ADOMIAN DECOMPOSITION METHOD

Oswaldo González-Gaxiola, Anjan Biswas, Yakup Yildirim, Anelia Dakova^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

This work is a numerical perspective to highly dispersive dark optical solitons by using Laplace-Adomian decomposition method. The results are reported using this scheme with highly precise accuracy and the error measure is stunningly low. The surface plots, density plots and error plots are exhibited for different parameter choices. The simulations are almost an exact replica of such solitons that analytically arise from the governing system. The suggested iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions.

Original language	English
Pages (from-to)	677-688
Number of pages	12
Journal	Comptes Rendus de L'Academie Bulgare des Sciences
Volume	76
Issue number	5
DOIs	https://doi.org/10.7546/CRABS.2023.05.03
Publication status	Published - 2023
Externally published	Yes

Keywords

Adomian polynomials
Kerr type of nonlinearity
Laplace-transform
highly dispersive dark solitons
nonlinear Schrödinger equation
optical fibre

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10.7546/CRABS.2023.05.03

Cite this

@article{9bfce3da1dad492db72fb24b35c98aa6,

title = "NUMERICAL SIMULATION OF HIGHLY DISPERSIVE DARK OPTICAL SOLITONS WITH KERR LAW OF NONLINEAR REFRACTIVE INDEX BY LAPLACE–ADOMIAN DECOMPOSITION METHOD",

abstract = "This work is a numerical perspective to highly dispersive dark optical solitons by using Laplace-Adomian decomposition method. The results are reported using this scheme with highly precise accuracy and the error measure is stunningly low. The surface plots, density plots and error plots are exhibited for different parameter choices. The simulations are almost an exact replica of such solitons that analytically arise from the governing system. The suggested iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions.",

keywords = "Adomian polynomials, Kerr type of nonlinearity, Laplace-transform, highly dispersive dark solitons, nonlinear Schr{\"o}dinger equation, optical fibre",

author = "Oswaldo Gonz{\'a}lez-Gaxiola and Anjan Biswas and Yakup Yildirim and Anelia Dakova",

year = "2023",

doi = "10.7546/CRABS.2023.05.03",

language = "English",

volume = "76",

pages = "677--688",

journal = "Comptes Rendus de L'Academie Bulgare des Sciences",

issn = "1310-1331",

publisher = "Academic Publishing House",

number = "5",

}

NUMERICAL SIMULATION OF HIGHLY DISPERSIVE DARK OPTICAL SOLITONS WITH KERR LAW OF NONLINEAR REFRACTIVE INDEX BY LAPLACE–ADOMIAN DECOMPOSITION METHOD. / González-Gaxiola, Oswaldo; Biswas, Anjan; Yildirim, Yakup et al.
In: Comptes Rendus de L'Academie Bulgare des Sciences, Vol. 76, No. 5, 2023, p. 677-688.

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

TY - JOUR

T1 - NUMERICAL SIMULATION OF HIGHLY DISPERSIVE DARK OPTICAL SOLITONS WITH KERR LAW OF NONLINEAR REFRACTIVE INDEX BY LAPLACE–ADOMIAN DECOMPOSITION METHOD

AU - González-Gaxiola, Oswaldo

AU - Biswas, Anjan

AU - Yildirim, Yakup

AU - Dakova, Anelia

PY - 2023

Y1 - 2023

N2 - This work is a numerical perspective to highly dispersive dark optical solitons by using Laplace-Adomian decomposition method. The results are reported using this scheme with highly precise accuracy and the error measure is stunningly low. The surface plots, density plots and error plots are exhibited for different parameter choices. The simulations are almost an exact replica of such solitons that analytically arise from the governing system. The suggested iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions.

AB - This work is a numerical perspective to highly dispersive dark optical solitons by using Laplace-Adomian decomposition method. The results are reported using this scheme with highly precise accuracy and the error measure is stunningly low. The surface plots, density plots and error plots are exhibited for different parameter choices. The simulations are almost an exact replica of such solitons that analytically arise from the governing system. The suggested iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions.

KW - Adomian polynomials

KW - Kerr type of nonlinearity

KW - Laplace-transform

KW - highly dispersive dark solitons

KW - nonlinear Schrödinger equation

KW - optical fibre

UR - https://www.scopus.com/pages/publications/85163860881

U2 - 10.7546/CRABS.2023.05.03

DO - 10.7546/CRABS.2023.05.03

M3 - Article

AN - SCOPUS:85163860881

SN - 1310-1331

VL - 76

SP - 677

EP - 688

JO - Comptes Rendus de L'Academie Bulgare des Sciences

JF - Comptes Rendus de L'Academie Bulgare des Sciences

IS - 5

ER -

NUMERICAL SIMULATION OF HIGHLY DISPERSIVE DARK OPTICAL SOLITONS WITH KERR LAW OF NONLINEAR REFRACTIVE INDEX BY LAPLACE–ADOMIAN DECOMPOSITION METHOD

Abstract

Keywords

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