A New Modification in Simple Equation Method and its applications on nonlinear equations of physical nature

A New Modification in Simple Equation Method and its applications on nonlinear equations of physical nature

The modification of the expansion method, namely, the New Modified Simple Equation Method is presented and subsequently implemented on nonlinear partial differential equations. The implementation of the new modification is demonstrated by solving Landau-Ginburg-Higgs equation and Cahn-Allen equation...

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Main Authors: Amna Irshad, Syed Tauseef Mohyud-Din, Naveed Ahmed, Umar Khan
Format: Article
Language:English
Published: Elsevier 2017-01-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379717318193
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spelling doaj-fd854478ce4d4204ba931244e5de7f1f2020-11-25T02:14:18ZengElsevierResults in Physics2211-37972017-01-01742324240A New Modification in Simple Equation Method and its applications on nonlinear equations of physical natureAmna Irshad0Syed Tauseef Mohyud-Din1Naveed Ahmed2Umar Khan3Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, PakistanUniversity of Islamabad (UoI), Islamabad, PakistanDepartment of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan; Corresponding author.Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, PakistanThe modification of the expansion method, namely, the New Modified Simple Equation Method is presented and subsequently implemented on nonlinear partial differential equations. The implementation of the new modification is demonstrated by solving Landau-Ginburg-Higgs equation and Cahn-Allen equation, as a result many new and more general multiple wave solution consisting of Hyperbolic function solutions, trigonometric function solutions and rational function solutions are obtained. Also double solitary wave solutions are found by substituting the different values for some parameters. The method appears to be straightforward and powerful by means of symbolic computational system. Keywords: New Modified Simple Equation Method, Multiple wave solutions, Landau-Ginburg-Higgs equation, Cahn-Allen equationhttp://www.sciencedirect.com/science/article/pii/S2211379717318193
collection DOAJ
language English
format Article
sources DOAJ
author Amna Irshad
Syed Tauseef Mohyud-Din
Naveed Ahmed
Umar Khan
spellingShingle Amna Irshad
Syed Tauseef Mohyud-Din
Naveed Ahmed
Umar Khan
A New Modification in Simple Equation Method and its applications on nonlinear equations of physical nature
Results in Physics
author_facet Amna Irshad
Syed Tauseef Mohyud-Din
Naveed Ahmed
Umar Khan
author_sort Amna Irshad
title A New Modification in Simple Equation Method and its applications on nonlinear equations of physical nature
title_short A New Modification in Simple Equation Method and its applications on nonlinear equations of physical nature
title_full A New Modification in Simple Equation Method and its applications on nonlinear equations of physical nature
title_fullStr A New Modification in Simple Equation Method and its applications on nonlinear equations of physical nature
title_full_unstemmed A New Modification in Simple Equation Method and its applications on nonlinear equations of physical nature
title_sort new modification in simple equation method and its applications on nonlinear equations of physical nature
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2017-01-01
description The modification of the expansion method, namely, the New Modified Simple Equation Method is presented and subsequently implemented on nonlinear partial differential equations. The implementation of the new modification is demonstrated by solving Landau-Ginburg-Higgs equation and Cahn-Allen equation, as a result many new and more general multiple wave solution consisting of Hyperbolic function solutions, trigonometric function solutions and rational function solutions are obtained. Also double solitary wave solutions are found by substituting the different values for some parameters. The method appears to be straightforward and powerful by means of symbolic computational system. Keywords: New Modified Simple Equation Method, Multiple wave solutions, Landau-Ginburg-Higgs equation, Cahn-Allen equation
url http://www.sciencedirect.com/science/article/pii/S2211379717318193
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