Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations

Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations

The key purpose of the present research is to derive the exact solutions of nonlinear water wave equations (NLWWEs) in oceans through the invariant subspace scheme (ISS). In this respect, the NLWWEs which describe specific nonlinear waves are converted to a number of systems of ordinary differential...

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Main Authors: K. Hosseini, M. Inc, M. Shafiee, M. Ilie, A. Shafaroody, A. Yusuf, M. Bayram
Format: Article
Language:English
Published: Elsevier 2020-03-01
Series:Journal of Ocean Engineering and Science
Online Access:http://www.sciencedirect.com/science/article/pii/S2468013319300968
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spelling doaj-507f94df5a8d40dd964c89ecba44f2b52020-11-25T02:48:15ZengElsevierJournal of Ocean Engineering and Science2468-01332020-03-01513540Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equationsK. Hosseini0M. Inc1M. Shafiee2M. Ilie3A. Shafaroody4A. Yusuf5M. Bayram6Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran; Corresponding authors.Department of Mathematics, Science Faculty, Firat University, 23119 Elazig, Turkey; Corresponding authors.Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, IranDepartment of Mathematics, Rasht Branch, Islamic Azad University, Rasht, IranYoung Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, IranDepartment of Mathematics, Science Faculty, Firat University, 23119 Elazig, Turkey; Department of Mathematics, Federal University Dutse, 7156 Jigawa, NigeriaDepartment of Computer Engineering, Istanbul Gelisim University, Istanbul, TurkeyThe key purpose of the present research is to derive the exact solutions of nonlinear water wave equations (NLWWEs) in oceans through the invariant subspace scheme (ISS). In this respect, the NLWWEs which describe specific nonlinear waves are converted to a number of systems of ordinary differential equations (ODEs) such that the resulting systems can be efficiently handled by computer algebra systems. As an accomplishment, the performance of the well-designed ISS in extracting a group of exact solutions is formally confirmed. In the end, the stability analysis for the NLWWE is investigated through the linear stability scheme. Keywords: Nonlinear water wave equations, Invariant subspace scheme, Exact solutions, Stability analysishttp://www.sciencedirect.com/science/article/pii/S2468013319300968
collection DOAJ
language English
format Article
sources DOAJ
author K. Hosseini
M. Inc
M. Shafiee
M. Ilie
A. Shafaroody
A. Yusuf
M. Bayram
spellingShingle K. Hosseini
M. Inc
M. Shafiee
M. Ilie
A. Shafaroody
A. Yusuf
M. Bayram
Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations
Journal of Ocean Engineering and Science
author_facet K. Hosseini
M. Inc
M. Shafiee
M. Ilie
A. Shafaroody
A. Yusuf
M. Bayram
author_sort K. Hosseini
title Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations
title_short Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations
title_full Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations
title_fullStr Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations
title_full_unstemmed Invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations
title_sort invariant subspaces, exact solutions and stability analysis of nonlinear water wave equations
publisher Elsevier
series Journal of Ocean Engineering and Science
issn 2468-0133
publishDate 2020-03-01
description The key purpose of the present research is to derive the exact solutions of nonlinear water wave equations (NLWWEs) in oceans through the invariant subspace scheme (ISS). In this respect, the NLWWEs which describe specific nonlinear waves are converted to a number of systems of ordinary differential equations (ODEs) such that the resulting systems can be efficiently handled by computer algebra systems. As an accomplishment, the performance of the well-designed ISS in extracting a group of exact solutions is formally confirmed. In the end, the stability analysis for the NLWWE is investigated through the linear stability scheme. Keywords: Nonlinear water wave equations, Invariant subspace scheme, Exact solutions, Stability analysis
url http://www.sciencedirect.com/science/article/pii/S2468013319300968
work_keys_str_mv AT khosseini invariantsubspacesexactsolutionsandstabilityanalysisofnonlinearwaterwaveequations
AT minc invariantsubspacesexactsolutionsandstabilityanalysisofnonlinearwaterwaveequations
AT mshafiee invariantsubspacesexactsolutionsandstabilityanalysisofnonlinearwaterwaveequations
AT milie invariantsubspacesexactsolutionsandstabilityanalysisofnonlinearwaterwaveequations
AT ashafaroody invariantsubspacesexactsolutionsandstabilityanalysisofnonlinearwaterwaveequations
AT ayusuf invariantsubspacesexactsolutionsandstabilityanalysisofnonlinearwaterwaveequations
AT mbayram invariantsubspacesexactsolutionsandstabilityanalysisofnonlinearwaterwaveequations
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