Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition Method

Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition Method

In this paper, we present new numerical results for the dispersive optical soliton solutions of the nonlinear Schrödinger-Hirota equation. The spatio-temporal dispersion term is included, in addition to group velocity dispersion Kerr law of nonlinearity are studied. A general recursive numerical sch...

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Main Authors: H. O. Bakodah, M. A. Banaja, A. A. Alshaery, A. A. Al Qarni
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2019/2960912
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spelling doaj-a34ee4b57082414ab1313f3819ea5fee2020-11-25T01:08:09ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472019-01-01201910.1155/2019/29609122960912Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition MethodH. O. Bakodah0M. A. Banaja1A. A. Alshaery2A. A. Al Qarni3Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Jeddah, Jeddah, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Jeddah, Jeddah, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Bisha, Blqarn Campus, Saudi ArabiaIn this paper, we present new numerical results for the dispersive optical soliton solutions of the nonlinear Schrödinger-Hirota equation. The spatio-temporal dispersion term is included, in addition to group velocity dispersion Kerr law of nonlinearity are studied. A general recursive numerical scheme for the equation is devised via the Improved Adomian Decomposition Method (IADM) and further sought for some analytical results for validation. The scheme is shown to be efficient and possessed high level of accuracy as demonstrated.http://dx.doi.org/10.1155/2019/2960912
collection DOAJ
language English
format Article
sources DOAJ
author H. O. Bakodah
M. A. Banaja
A. A. Alshaery
A. A. Al Qarni
spellingShingle H. O. Bakodah
M. A. Banaja
A. A. Alshaery
A. A. Al Qarni
Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition Method
Mathematical Problems in Engineering
author_facet H. O. Bakodah
M. A. Banaja
A. A. Alshaery
A. A. Al Qarni
author_sort H. O. Bakodah
title Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition Method
title_short Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition Method
title_full Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition Method
title_fullStr Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition Method
title_full_unstemmed Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition Method
title_sort numerical solution of dispersive optical solitons with schrödinger-hirota equation by improved adomian decomposition method
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2019-01-01
description In this paper, we present new numerical results for the dispersive optical soliton solutions of the nonlinear Schrödinger-Hirota equation. The spatio-temporal dispersion term is included, in addition to group velocity dispersion Kerr law of nonlinearity are studied. A general recursive numerical scheme for the equation is devised via the Improved Adomian Decomposition Method (IADM) and further sought for some analytical results for validation. The scheme is shown to be efficient and possessed high level of accuracy as demonstrated.
url http://dx.doi.org/10.1155/2019/2960912
work_keys_str_mv AT hobakodah numericalsolutionofdispersiveopticalsolitonswithschrodingerhirotaequationbyimprovedadomiandecompositionmethod
AT mabanaja numericalsolutionofdispersiveopticalsolitonswithschrodingerhirotaequationbyimprovedadomiandecompositionmethod
AT aaalshaery numericalsolutionofdispersiveopticalsolitonswithschrodingerhirotaequationbyimprovedadomiandecompositionmethod
AT aaalqarni numericalsolutionofdispersiveopticalsolitonswithschrodingerhirotaequationbyimprovedadomiandecompositionmethod
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