Traveling Wave Solutions to the Nonlinear Evolution Equation Using Expansion Method and Addendum to Kudryashov’s Method

The inspection of wave motion and propagation of diffusion, convection, dispersion, and dissipation is a key research area in mathematics, physics, engineering, and real-time application fields. This article addresses the generalized dimensional Hirota–Maccari equation by using two different methods...

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Autor principal:	Hammad Alotaibi
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	optical soliton solution simple algebraic direct method nonlinear evolution equations nonlinear Hirota–Maccari equation addendum to Kudryashov’s method Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/9c06303019d84249ae6e3a2f5898ee53
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spelling	oai:doaj.org-article:9c06303019d84249ae6e3a2f5898ee532021-11-25T19:06:55ZTraveling Wave Solutions to the Nonlinear Evolution Equation Using Expansion Method and Addendum to Kudryashov’s Method10.3390/sym131121262073-8994https://doaj.org/article/9c06303019d84249ae6e3a2f5898ee532021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2126https://doaj.org/toc/2073-8994The inspection of wave motion and propagation of diffusion, convection, dispersion, and dissipation is a key research area in mathematics, physics, engineering, and real-time application fields. This article addresses the generalized dimensional Hirota–Maccari equation by using two different methods: the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo form="prefix">exp</mo><mo>(</mo><mo>−</mo><mi>φ</mi><mo>(</mo><mi>ζ</mi><mo>)</mo><mo>)</mo></mrow></semantics></math></inline-formula> expansion method and Addendum to Kudryashov’s method to obtain the optical traveling wave solutions. By utilizing suitable transformations, the nonlinear <span style="font-variant: small-caps;">pde</span>s are transformed into <span style="font-variant: small-caps;">ode</span>s. The traveling wave solutions are expressed in terms of rational functions. For certain parameter values, the obtained optical solutions are described graphically with the aid of Maple 15 software.Hammad AlotaibiMDPI AGarticleoptical soliton solutionsimple algebraic direct methodnonlinear evolution equationsnonlinear Hirota–Maccari equationaddendum to Kudryashov’s methodMathematicsQA1-939ENSymmetry, Vol 13, Iss 2126, p 2126 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	optical soliton solution simple algebraic direct method nonlinear evolution equations nonlinear Hirota–Maccari equation addendum to Kudryashov’s method Mathematics QA1-939
spellingShingle	optical soliton solution simple algebraic direct method nonlinear evolution equations nonlinear Hirota–Maccari equation addendum to Kudryashov’s method Mathematics QA1-939 Hammad Alotaibi Traveling Wave Solutions to the Nonlinear Evolution Equation Using Expansion Method and Addendum to Kudryashov’s Method
description	The inspection of wave motion and propagation of diffusion, convection, dispersion, and dissipation is a key research area in mathematics, physics, engineering, and real-time application fields. This article addresses the generalized dimensional Hirota–Maccari equation by using two different methods: the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo form="prefix">exp</mo><mo>(</mo><mo>−</mo><mi>φ</mi><mo>(</mo><mi>ζ</mi><mo>)</mo><mo>)</mo></mrow></semantics></math></inline-formula> expansion method and Addendum to Kudryashov’s method to obtain the optical traveling wave solutions. By utilizing suitable transformations, the nonlinear <span style="font-variant: small-caps;">pde</span>s are transformed into <span style="font-variant: small-caps;">ode</span>s. The traveling wave solutions are expressed in terms of rational functions. For certain parameter values, the obtained optical solutions are described graphically with the aid of Maple 15 software.
format	article
author	Hammad Alotaibi
author_facet	Hammad Alotaibi
author_sort	Hammad Alotaibi
title	Traveling Wave Solutions to the Nonlinear Evolution Equation Using Expansion Method and Addendum to Kudryashov’s Method
title_short	Traveling Wave Solutions to the Nonlinear Evolution Equation Using Expansion Method and Addendum to Kudryashov’s Method
title_full	Traveling Wave Solutions to the Nonlinear Evolution Equation Using Expansion Method and Addendum to Kudryashov’s Method
title_fullStr	Traveling Wave Solutions to the Nonlinear Evolution Equation Using Expansion Method and Addendum to Kudryashov’s Method
title_full_unstemmed	Traveling Wave Solutions to the Nonlinear Evolution Equation Using Expansion Method and Addendum to Kudryashov’s Method
title_sort	traveling wave solutions to the nonlinear evolution equation using expansion method and addendum to kudryashov’s method
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/9c06303019d84249ae6e3a2f5898ee53
work_keys_str_mv	AT hammadalotaibi travelingwavesolutionstothenonlinearevolutionequationusingexpansionmethodandaddendumtokudryashovsmethod
_version_	1718410293461123072

Traveling Wave Solutions to the Nonlinear Evolution Equation Using Expansion Method and Addendum to Kudryashov’s Method

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