Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm

Alyaa A. Al-Qarni; Huda O. Bakodah; Aisha A. Alshaery; Anjan Biswas; Yakup Yıldırım; Luminita Moraru; Simona Moldovanu

doi:10.3390/math10010138

Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm

Alyaa A. Al-Qarni
, Huda O. Bakodah
, Aisha A. Alshaery
, Anjan Biswas
, Yakup Yıldırım
, Luminita Moraru
, Simona Moldovanu^*

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

The current manuscript displays elegant numerical results for cubic-quartic optical solitons associated with the perturbed Fokas–Lenells equations. To do so, we devise a generalized iterative method for the model using the improved Adomian decomposition method (ADM) and further seek validation from certain well-known results in the literature. As proven, the proposed scheme is efficient and possess a high level of accuracy.

Original language	English
Article number	138
Journal	Mathematics
Volume	10
Issue number	1
DOIs	https://doi.org/10.3390/math10010138
Publication status	Published - 1 Jan 2022
Externally published	Yes

Keywords

Cubic-quartic optical solitons
Fokas–Lenells equations
Improved adomian decomposition method
Optical soliton

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10.3390/math10010138

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title = "Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm",

abstract = "The current manuscript displays elegant numerical results for cubic-quartic optical solitons associated with the perturbed Fokas–Lenells equations. To do so, we devise a generalized iterative method for the model using the improved Adomian decomposition method (ADM) and further seek validation from certain well-known results in the literature. As proven, the proposed scheme is efficient and possess a high level of accuracy.",

keywords = "Cubic-quartic optical solitons, Fokas–Lenells equations, Improved adomian decomposition method, Optical soliton",

author = "Al-Qarni, \{Alyaa A.\} and Bakodah, \{Huda O.\} and Alshaery, \{Aisha A.\} and Anjan Biswas and Yakup Yıldırım and Luminita Moraru and Simona Moldovanu",

note = "Publisher Copyright: {\textcopyright} 2022 by the authors. Licensee MDPI, Basel, Switzerland.",

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doi = "10.3390/math10010138",

language = "English",

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T1 - Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm

AU - Al-Qarni, Alyaa A.

AU - Bakodah, Huda O.

AU - Alshaery, Aisha A.

AU - Biswas, Anjan

AU - Yıldırım, Yakup

AU - Moraru, Luminita

AU - Moldovanu, Simona

PY - 2022/1/1

Y1 - 2022/1/1

N2 - The current manuscript displays elegant numerical results for cubic-quartic optical solitons associated with the perturbed Fokas–Lenells equations. To do so, we devise a generalized iterative method for the model using the improved Adomian decomposition method (ADM) and further seek validation from certain well-known results in the literature. As proven, the proposed scheme is efficient and possess a high level of accuracy.

AB - The current manuscript displays elegant numerical results for cubic-quartic optical solitons associated with the perturbed Fokas–Lenells equations. To do so, we devise a generalized iterative method for the model using the improved Adomian decomposition method (ADM) and further seek validation from certain well-known results in the literature. As proven, the proposed scheme is efficient and possess a high level of accuracy.

KW - Cubic-quartic optical solitons

KW - Fokas–Lenells equations

KW - Improved adomian decomposition method

KW - Optical soliton

UR - https://www.scopus.com/pages/publications/85122182360

U2 - 10.3390/math10010138

DO - 10.3390/math10010138

M3 - Article

AN - SCOPUS:85122182360

SN - 2227-7390

VL - 10

JO - Mathematics

JF - Mathematics

IS - 1

M1 - 138

ER -

Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm

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Keywords

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