Optical Solitons for Chen–Lee–Liu Equation with Two Spectral Collocation Approaches

M. A. Abdelkawy; S. S. Ezz-Eldien; A. Biswas; A. Kamis Alzahrani; M. R. Belic

doi:10.1134/S0965542521090025

Optical Solitons for Chen–Lee–Liu Equation with Two Spectral Collocation Approaches

M. A. Abdelkawy^*, S. S. Ezz-Eldien, A. Biswas, A. Kamis Alzahrani, M. R. Belic

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

Abstract: This paper revisits the study of optical solitons that is governed by one of the three forms of derivative nonlinear Schrödinger’s equation that is also known as Chen–Lee–Liu model. This model is investigated by the aid of fully shifted Jacobi’s collocation method with two independent approaches. The first is discretization of the spatial variable, while the other is discretization of the temporal variable. It is concluded that the method of the current paper is far more efficient and reliable for the considered model. Numerical results illustrate the performance efficiency of the algorithm. The results also point out that the scheme can lead to spectral accuracy of the studied model.

Original language	English
Pages (from-to)	1432-1443
Number of pages	12
Journal	Computational Mathematics and Mathematical Physics
Volume	61
Issue number	9
DOIs	https://doi.org/10.1134/S0965542521090025
Publication status	Published - Sept 2021
Externally published	Yes

Keywords

Chen–Lee–Liu equation
collocation method
shifted Jacobi–Gauss–Lobatto quadrature
shifted Jacobi–Gauss–Radau quadrature

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10.1134/S0965542521090025

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title = "Optical Solitons for Chen–Lee–Liu Equation with Two Spectral Collocation Approaches",

abstract = "Abstract: This paper revisits the study of optical solitons that is governed by one of the three forms of derivative nonlinear Schr{\"o}dinger{\textquoteright}s equation that is also known as Chen–Lee–Liu model. This model is investigated by the aid of fully shifted Jacobi{\textquoteright}s collocation method with two independent approaches. The first is discretization of the spatial variable, while the other is discretization of the temporal variable. It is concluded that the method of the current paper is far more efficient and reliable for the considered model. Numerical results illustrate the performance efficiency of the algorithm. The results also point out that the scheme can lead to spectral accuracy of the studied model.",

keywords = "Chen–Lee–Liu equation, collocation method, shifted Jacobi–Gauss–Lobatto quadrature, shifted Jacobi–Gauss–Radau quadrature",

author = "Abdelkawy, {M. A.} and Ezz-Eldien, {S. S.} and A. Biswas and Alzahrani, {A. Kamis} and Belic, {M. R.}",

note = "Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",

year = "2021",

month = sep,

doi = "10.1134/S0965542521090025",

language = "English",

volume = "61",

pages = "1432--1443",

journal = "Computational Mathematics and Mathematical Physics",

issn = "0965-5425",

publisher = "Pleiades Publishing",

number = "9",

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TY - JOUR

T1 - Optical Solitons for Chen–Lee–Liu Equation with Two Spectral Collocation Approaches

AU - Abdelkawy, M. A.

AU - Ezz-Eldien, S. S.

AU - Biswas, A.

AU - Alzahrani, A. Kamis

AU - Belic, M. R.

PY - 2021/9

Y1 - 2021/9

N2 - Abstract: This paper revisits the study of optical solitons that is governed by one of the three forms of derivative nonlinear Schrödinger’s equation that is also known as Chen–Lee–Liu model. This model is investigated by the aid of fully shifted Jacobi’s collocation method with two independent approaches. The first is discretization of the spatial variable, while the other is discretization of the temporal variable. It is concluded that the method of the current paper is far more efficient and reliable for the considered model. Numerical results illustrate the performance efficiency of the algorithm. The results also point out that the scheme can lead to spectral accuracy of the studied model.

AB - Abstract: This paper revisits the study of optical solitons that is governed by one of the three forms of derivative nonlinear Schrödinger’s equation that is also known as Chen–Lee–Liu model. This model is investigated by the aid of fully shifted Jacobi’s collocation method with two independent approaches. The first is discretization of the spatial variable, while the other is discretization of the temporal variable. It is concluded that the method of the current paper is far more efficient and reliable for the considered model. Numerical results illustrate the performance efficiency of the algorithm. The results also point out that the scheme can lead to spectral accuracy of the studied model.

KW - Chen–Lee–Liu equation

KW - collocation method

KW - shifted Jacobi–Gauss–Lobatto quadrature

KW - shifted Jacobi–Gauss–Radau quadrature

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U2 - 10.1134/S0965542521090025

DO - 10.1134/S0965542521090025

M3 - Article

AN - SCOPUS:85117351391

SN - 0965-5425

VL - 61

SP - 1432

EP - 1443

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

IS - 9

ER -

Optical Solitons for Chen–Lee–Liu Equation with Two Spectral Collocation Approaches

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Keywords

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