Exact and explicit traveling wave solutions to the generalized Gardner and BBMB equations with dual high-order nonlinear terms

Exact and explicit traveling wave solutions to the generalized Gardner and BBMB equations with dual high-order nonlinear terms

In this paper, the first integral method is used to solve the generalized Gardner and Benjamin–Bona–Mahoney–Burgers (BBMB) equations with dual high-order nonlinear terms. Consequently, the exact and explicit traveling wave solutions are obtained. For some specific choice of parameters, obtained solu...

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Main Author: Thilagarajah Mathanaranjan
Format: Article
Language:English
Published: Elsevier 2021-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Traveling wave solutions
First integral method
Gardner equation
BBMB equations
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818121000644
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spelling doaj-64a24722043b4d0f956a9b9a454c4aeb2021-09-17T04:38:12ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812021-12-014100120Exact and explicit traveling wave solutions to the generalized Gardner and BBMB equations with dual high-order nonlinear termsThilagarajah Mathanaranjan0Department of Mathematics and Statistics, University of Jaffna, Sri LankaIn this paper, the first integral method is used to solve the generalized Gardner and Benjamin–Bona–Mahoney–Burgers (BBMB) equations with dual high-order nonlinear terms. Consequently, the exact and explicit traveling wave solutions are obtained. For some specific choice of parameters, obtained solutions are reduced to the solutions of classical Gardner and BBM equations. Comparisons between our results and the well-known results are given. In addition, 3-D and 2-D graphical representations of the exact solutions are depicted.http://www.sciencedirect.com/science/article/pii/S2666818121000644Traveling wave solutionsFirst integral methodGardner equationBBMB equations
collection DOAJ
language English
format Article
sources DOAJ
author Thilagarajah Mathanaranjan
spellingShingle Thilagarajah Mathanaranjan
Exact and explicit traveling wave solutions to the generalized Gardner and BBMB equations with dual high-order nonlinear terms
Partial Differential Equations in Applied Mathematics
Traveling wave solutions
First integral method
Gardner equation
BBMB equations
author_facet Thilagarajah Mathanaranjan
author_sort Thilagarajah Mathanaranjan
title Exact and explicit traveling wave solutions to the generalized Gardner and BBMB equations with dual high-order nonlinear terms
title_short Exact and explicit traveling wave solutions to the generalized Gardner and BBMB equations with dual high-order nonlinear terms
title_full Exact and explicit traveling wave solutions to the generalized Gardner and BBMB equations with dual high-order nonlinear terms
title_fullStr Exact and explicit traveling wave solutions to the generalized Gardner and BBMB equations with dual high-order nonlinear terms
title_full_unstemmed Exact and explicit traveling wave solutions to the generalized Gardner and BBMB equations with dual high-order nonlinear terms
title_sort exact and explicit traveling wave solutions to the generalized gardner and bbmb equations with dual high-order nonlinear terms
publisher Elsevier
series Partial Differential Equations in Applied Mathematics
issn 2666-8181
publishDate 2021-12-01
description In this paper, the first integral method is used to solve the generalized Gardner and Benjamin–Bona–Mahoney–Burgers (BBMB) equations with dual high-order nonlinear terms. Consequently, the exact and explicit traveling wave solutions are obtained. For some specific choice of parameters, obtained solutions are reduced to the solutions of classical Gardner and BBM equations. Comparisons between our results and the well-known results are given. In addition, 3-D and 2-D graphical representations of the exact solutions are depicted.
topic Traveling wave solutions
First integral method
Gardner equation
BBMB equations
url http://www.sciencedirect.com/science/article/pii/S2666818121000644
work_keys_str_mv AT thilagarajahmathanaranjan exactandexplicittravelingwavesolutionstothegeneralizedgardnerandbbmbequationswithdualhighordernonlinearterms
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