New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation

New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation

The Davey-Stewartson Equation (DSE) is an equation system that reflects the evolution in finite depth of soft nonlinear packets of water waves that move in one direction but in which the waves’ amplitude is modulated in spatial directions. This paper uses the Generalized Elliptic Equation Rational E...

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Main Authors: Kwasi Boateng, Weiguo Yang, Wilson Osafo Apeanti, David Yaro
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2019/3879259
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spelling doaj-93f52922eba042d497b50f67398dd13c2021-07-02T01:16:14ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/38792593879259New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of EquationKwasi Boateng0Weiguo Yang1Wilson Osafo Apeanti2David Yaro3Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu Province 212013, ChinaFaculty of Science, Jiangsu University, Zhenjiang, Jiangsu Province 212013, ChinaFaculty of Science, Jiangsu University, Zhenjiang, Jiangsu Province 212013, ChinaFaculty of Science, Jiangsu University, Zhenjiang, Jiangsu Province 212013, ChinaThe Davey-Stewartson Equation (DSE) is an equation system that reflects the evolution in finite depth of soft nonlinear packets of water waves that move in one direction but in which the waves’ amplitude is modulated in spatial directions. This paper uses the Generalized Elliptic Equation Rational Expansion (GEERE) technique to extract fresh exact solutions for the DSE. As a consequence, solutions with parameters of trigonometric, hyperbolic, and rational function are achieved. To display the physical characteristics of this model, the solutions obtained are graphically displayed. Modulation instability assessment of the outcomes acquired is also discussed and it demonstrates that all the solutions built are accurate and stable.http://dx.doi.org/10.1155/2019/3879259
collection DOAJ
language English
format Article
sources DOAJ
author Kwasi Boateng
Weiguo Yang
Wilson Osafo Apeanti
David Yaro
spellingShingle Kwasi Boateng
Weiguo Yang
Wilson Osafo Apeanti
David Yaro
New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation
Advances in Mathematical Physics
author_facet Kwasi Boateng
Weiguo Yang
Wilson Osafo Apeanti
David Yaro
author_sort Kwasi Boateng
title New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation
title_short New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation
title_full New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation
title_fullStr New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation
title_full_unstemmed New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation
title_sort new exact solutions and modulation instability for the nonlinear (2+1)-dimensional davey-stewartson system of equation
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2019-01-01
description The Davey-Stewartson Equation (DSE) is an equation system that reflects the evolution in finite depth of soft nonlinear packets of water waves that move in one direction but in which the waves’ amplitude is modulated in spatial directions. This paper uses the Generalized Elliptic Equation Rational Expansion (GEERE) technique to extract fresh exact solutions for the DSE. As a consequence, solutions with parameters of trigonometric, hyperbolic, and rational function are achieved. To display the physical characteristics of this model, the solutions obtained are graphically displayed. Modulation instability assessment of the outcomes acquired is also discussed and it demonstrates that all the solutions built are accurate and stable.
url http://dx.doi.org/10.1155/2019/3879259
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AT weiguoyang newexactsolutionsandmodulationinstabilityforthenonlinear21dimensionaldaveystewartsonsystemofequation
AT wilsonosafoapeanti newexactsolutionsandmodulationinstabilityforthenonlinear21dimensionaldaveystewartsonsystemofequation
AT davidyaro newexactsolutionsandmodulationinstabilityforthenonlinear21dimensionaldaveystewartsonsystemofequation
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