Computational and traveling wave analysis of Tzitzéica and Dodd-Bullough-Mikhailov equations: An exact and analytical study

Computational and travelling wave solutions provide significant improvements in accuracy and characterize novelty of imposed techniques. In this context, computational and travelling wave solutions have been traced out for Tzitzéica and Dodd-Bullough-Mikhailov equations by means of (1/G′)-expansion...

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Autores principales:	Durur Hülya, Yokuş Asıf, Abro Kashif Ali
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	tzitzéica equation (1/g′)-expansion method dodd-bullough-mikhailov equation traveling wave solutions exact solutions Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/0f89aacd14444e2999463bddfc703077
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spelling	oai:doaj.org-article:0f89aacd14444e2999463bddfc7030772021-12-05T14:10:57ZComputational and traveling wave analysis of Tzitzéica and Dodd-Bullough-Mikhailov equations: An exact and analytical study2192-80102192-802910.1515/nleng-2021-0021https://doaj.org/article/0f89aacd14444e2999463bddfc7030772021-10-01T00:00:00Zhttps://doi.org/10.1515/nleng-2021-0021https://doaj.org/toc/2192-8010https://doaj.org/toc/2192-8029Computational and travelling wave solutions provide significant improvements in accuracy and characterize novelty of imposed techniques. In this context, computational and travelling wave solutions have been traced out for Tzitzéica and Dodd-Bullough-Mikhailov equations by means of (1/G′)-expansion method. The different types of solutions have constructed for Tzitzéica and Dodd-Bullough-Mikhailov equations in hyperbolic form. Moreover, solution function of Tzitzéica and Dodd-Bullough-Mikhailov equations has been derived in the format of logarithmic nature. Since both equations contain exponential terms so the solutions produced are expected to be in logarithmic form. Traveling wave solutions are presented in different formats from the solutions introduced in the literature. The reliability, effectiveness and applicability of the (1/G′)-expansion method produced hyperbolic type solutions. For the sake of physical significance, contour graphs, two dimensional and three dimensional graphs have been depicted for stationary wave. Such graphical illustration has been contrasted for stationary wave verses traveling wave solutions. Our graphical comparative analysis suggests that imposed method is reliable and powerful method for obtaining exact solutions of nonlinear evolution equations.Durur HülyaYokuş AsıfAbro Kashif AliDe Gruyterarticletzitzéica equation(1/g′)-expansion methoddodd-bullough-mikhailov equationtraveling wave solutionsexact solutionsEngineering (General). Civil engineering (General)TA1-2040ENNonlinear Engineering, Vol 10, Iss 1, Pp 272-281 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	tzitzéica equation (1/g′)-expansion method dodd-bullough-mikhailov equation traveling wave solutions exact solutions Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	tzitzéica equation (1/g′)-expansion method dodd-bullough-mikhailov equation traveling wave solutions exact solutions Engineering (General). Civil engineering (General) TA1-2040 Durur Hülya Yokuş Asıf Abro Kashif Ali Computational and traveling wave analysis of Tzitzéica and Dodd-Bullough-Mikhailov equations: An exact and analytical study
description	Computational and travelling wave solutions provide significant improvements in accuracy and characterize novelty of imposed techniques. In this context, computational and travelling wave solutions have been traced out for Tzitzéica and Dodd-Bullough-Mikhailov equations by means of (1/G′)-expansion method. The different types of solutions have constructed for Tzitzéica and Dodd-Bullough-Mikhailov equations in hyperbolic form. Moreover, solution function of Tzitzéica and Dodd-Bullough-Mikhailov equations has been derived in the format of logarithmic nature. Since both equations contain exponential terms so the solutions produced are expected to be in logarithmic form. Traveling wave solutions are presented in different formats from the solutions introduced in the literature. The reliability, effectiveness and applicability of the (1/G′)-expansion method produced hyperbolic type solutions. For the sake of physical significance, contour graphs, two dimensional and three dimensional graphs have been depicted for stationary wave. Such graphical illustration has been contrasted for stationary wave verses traveling wave solutions. Our graphical comparative analysis suggests that imposed method is reliable and powerful method for obtaining exact solutions of nonlinear evolution equations.
format	article
author	Durur Hülya Yokuş Asıf Abro Kashif Ali
author_facet	Durur Hülya Yokuş Asıf Abro Kashif Ali
author_sort	Durur Hülya
title	Computational and traveling wave analysis of Tzitzéica and Dodd-Bullough-Mikhailov equations: An exact and analytical study
title_short	Computational and traveling wave analysis of Tzitzéica and Dodd-Bullough-Mikhailov equations: An exact and analytical study
title_full	Computational and traveling wave analysis of Tzitzéica and Dodd-Bullough-Mikhailov equations: An exact and analytical study
title_fullStr	Computational and traveling wave analysis of Tzitzéica and Dodd-Bullough-Mikhailov equations: An exact and analytical study
title_full_unstemmed	Computational and traveling wave analysis of Tzitzéica and Dodd-Bullough-Mikhailov equations: An exact and analytical study
title_sort	computational and traveling wave analysis of tzitzéica and dodd-bullough-mikhailov equations: an exact and analytical study
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/0f89aacd14444e2999463bddfc703077
work_keys_str_mv	AT dururhulya computationalandtravelingwaveanalysisoftzitzeicaanddoddbulloughmikhailovequationsanexactandanalyticalstudy AT yokusasıf computationalandtravelingwaveanalysisoftzitzeicaanddoddbulloughmikhailovequationsanexactandanalyticalstudy AT abrokashifali computationalandtravelingwaveanalysisoftzitzeicaanddoddbulloughmikhailovequationsanexactandanalyticalstudy
_version_	1718371521497399296

Computational and traveling wave analysis of Tzitzéica and Dodd-Bullough-Mikhailov equations: An exact and analytical study

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