Highly dispersive optical solitons with a polynomial law of refractive index by Laplace–Adomian decomposition

O. González-Gaxiola; Anjan Biswas; Abdullah K. Alzahrani; Milivoj R. Belic

doi:10.1007/s10825-021-01710-x

Highly dispersive optical solitons with a polynomial law of refractive index by Laplace–Adomian decomposition

O. González-Gaxiola^*
, Anjan Biswas
, Abdullah K. Alzahrani
, Milivoj R. Belic

^*Corresponding author for this work

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

18 Citations (Scopus)

Abstract

This paper presents a numerical study of highly dispersive optical solitons that maintain a cubic–quintic–septic nonlinear (also know as polynomial) form of the refractive index. The Laplace–Adomian decomposition scheme is applied as a numerical algorithm to put the model into perspective. Both bright and dark soliton solutions are studied in this context. Both surface plots and contour plots of such solitons are presented. The error plots are also shown, demonstrating extremely low error measure values.

Original language	English
Pages (from-to)	1216-1223
Number of pages	8
Journal	Journal of Computational Electronics
Volume	20
Issue number	3
DOIs	https://doi.org/10.1007/s10825-021-01710-x
Publication status	Published - Jun 2021
Externally published	Yes

Keywords

Cubic–quintic–septic law
Highly dispersive solitons
Laplace–Adomian decomposition method
Nonlinear Schrödinger’s equation

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10.1007/s10825-021-01710-x

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title = "Highly dispersive optical solitons with a polynomial law of refractive index by Laplace–Adomian decomposition",

abstract = "This paper presents a numerical study of highly dispersive optical solitons that maintain a cubic–quintic–septic nonlinear (also know as polynomial) form of the refractive index. The Laplace–Adomian decomposition scheme is applied as a numerical algorithm to put the model into perspective. Both bright and dark soliton solutions are studied in this context. Both surface plots and contour plots of such solitons are presented. The error plots are also shown, demonstrating extremely low error measure values.",

keywords = "Cubic–quintic–septic law, Highly dispersive solitons, Laplace–Adomian decomposition method, Nonlinear Schr{\"o}dinger{\textquoteright}s equation",

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note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

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T1 - Highly dispersive optical solitons with a polynomial law of refractive index by Laplace–Adomian decomposition

AU - González-Gaxiola, O.

AU - Biswas, Anjan

AU - Alzahrani, Abdullah K.

AU - Belic, Milivoj R.

PY - 2021/6

Y1 - 2021/6

N2 - This paper presents a numerical study of highly dispersive optical solitons that maintain a cubic–quintic–septic nonlinear (also know as polynomial) form of the refractive index. The Laplace–Adomian decomposition scheme is applied as a numerical algorithm to put the model into perspective. Both bright and dark soliton solutions are studied in this context. Both surface plots and contour plots of such solitons are presented. The error plots are also shown, demonstrating extremely low error measure values.

AB - This paper presents a numerical study of highly dispersive optical solitons that maintain a cubic–quintic–septic nonlinear (also know as polynomial) form of the refractive index. The Laplace–Adomian decomposition scheme is applied as a numerical algorithm to put the model into perspective. Both bright and dark soliton solutions are studied in this context. Both surface plots and contour plots of such solitons are presented. The error plots are also shown, demonstrating extremely low error measure values.

KW - Cubic–quintic–septic law

KW - Highly dispersive solitons

KW - Laplace–Adomian decomposition method

KW - Nonlinear Schrödinger’s equation

UR - https://www.scopus.com/pages/publications/85105490723

U2 - 10.1007/s10825-021-01710-x

DO - 10.1007/s10825-021-01710-x

M3 - Article

AN - SCOPUS:85105490723

SN - 1569-8025

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SP - 1216

EP - 1223

JO - Journal of Computational Electronics

JF - Journal of Computational Electronics

IS - 3

ER -

Highly dispersive optical solitons with a polynomial law of refractive index by Laplace–Adomian decomposition

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Keywords

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