Lie symmetry analysis and traveling wave solutions of equal width wave equation

Abstract We obtained the power series solution and the traveling wave solutions of equal width wave equation by using the Lie symmetry method. The fundamental idea behind the symmetry transformation method is that it reduces one independent variables in a system of PDEs by utilizing Lie symmetries...

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Autores principales:	Chauhan,Antim, Arora,Rajan, Tomar,Amit
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:	Equal width wave (EWW) equation Lie symmetry analysis method Power series solutions Tanh method Symbolic computation
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100179
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spelling	oai:scielo:S0716-091720200001001792020-02-18Lie symmetry analysis and traveling wave solutions of equal width wave equationChauhan,AntimArora,RajanTomar,Amit Equal width wave (EWW) equation Lie symmetry analysis method Power series solutions Tanh method Symbolic computation Abstract We obtained the power series solution and the traveling wave solutions of equal width wave equation by using the Lie symmetry method. The fundamental idea behind the symmetry transformation method is that it reduces one independent variables in a system of PDEs by utilizing Lie symmetries and surface invariance condition. We first obtained the infinitesimals and commutation table with the help of MAPLE software. Lie symmetry transformation method (STM) has been applied on EWW equation and converted it into various nonlinear ODEs. Then, the tanh method and the power series method have been applied for solving the reduced nonlinear ordinary differential equations (ODEs). Convergence of the power series solutions has also been shown.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.1 20202020-02-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100179en10.22199/issn.0717-6279-2020-01-0012
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Equal width wave (EWW) equation Lie symmetry analysis method Power series solutions Tanh method Symbolic computation
spellingShingle	Equal width wave (EWW) equation Lie symmetry analysis method Power series solutions Tanh method Symbolic computation Chauhan,Antim Arora,Rajan Tomar,Amit Lie symmetry analysis and traveling wave solutions of equal width wave equation
description	Abstract We obtained the power series solution and the traveling wave solutions of equal width wave equation by using the Lie symmetry method. The fundamental idea behind the symmetry transformation method is that it reduces one independent variables in a system of PDEs by utilizing Lie symmetries and surface invariance condition. We first obtained the infinitesimals and commutation table with the help of MAPLE software. Lie symmetry transformation method (STM) has been applied on EWW equation and converted it into various nonlinear ODEs. Then, the tanh method and the power series method have been applied for solving the reduced nonlinear ordinary differential equations (ODEs). Convergence of the power series solutions has also been shown.
author	Chauhan,Antim Arora,Rajan Tomar,Amit
author_facet	Chauhan,Antim Arora,Rajan Tomar,Amit
author_sort	Chauhan,Antim
title	Lie symmetry analysis and traveling wave solutions of equal width wave equation
title_short	Lie symmetry analysis and traveling wave solutions of equal width wave equation
title_full	Lie symmetry analysis and traveling wave solutions of equal width wave equation
title_fullStr	Lie symmetry analysis and traveling wave solutions of equal width wave equation
title_full_unstemmed	Lie symmetry analysis and traveling wave solutions of equal width wave equation
title_sort	lie symmetry analysis and traveling wave solutions of equal width wave equation
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100179
work_keys_str_mv	AT chauhanantim liesymmetryanalysisandtravelingwavesolutionsofequalwidthwaveequation AT arorarajan liesymmetryanalysisandtravelingwavesolutionsofequalwidthwaveequation AT tomaramit liesymmetryanalysisandtravelingwavesolutionsofequalwidthwaveequation
_version_	1718439865919471616

Lie symmetry analysis and traveling wave solutions of equal width wave equation

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