Exact solutions for the nonlinear extended KdV equation in a stratified shear flow using modified exponential rational method

Exact solutions for the nonlinear extended KdV equation in a stratified shear flow using modified exponential rational method

In this article, we study the nonlinear higher order of extended KdV equation with free surface displacement. The modified exponential rational function method is used in order to find exact solutions of the extended KdV equation. As a result, various exact solutions for the equation under considera...

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Bibliographic Details
Main Authors: Ali Althobaiti, Saad Althobaiti, K. El-Rashidy, Aly R. Seadawy
Format: Article
Language:English
Published: Elsevier 2021-10-01
Series:Results in Physics
Subjects:
Wave solutions
Nonlinear higher order of extended KdV equations
Extension exponential rational function method
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379721007956
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spelling doaj-164f91ad2e4d48c8817be0132ad54f072021-09-27T04:25:36ZengElsevierResults in Physics2211-37972021-10-0129104723Exact solutions for the nonlinear extended KdV equation in a stratified shear flow using modified exponential rational methodAli Althobaiti0Saad Althobaiti1K. El-Rashidy2Aly R. Seadawy3Mathematics Department, Faculty of science, Taif University, Saudi ArabiaTechnology and Science Department, Ranyah University Collage, Taif University, Saudi ArabiaTechnology and Science Department, Ranyah University Collage, Taif University, Saudi ArabiaMathematics Department, Faculty of Sciences, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Corresponding author.In this article, we study the nonlinear higher order of extended KdV equation with free surface displacement. The modified exponential rational function method is used in order to find exact solutions of the extended KdV equation. As a result, various exact solutions for the equation under consideration are obtained. To illustrate the graphical behavior of the results, some of the obtained solutions are presented graphically.http://www.sciencedirect.com/science/article/pii/S2211379721007956Wave solutionsNonlinear higher order of extended KdV equationsExtension exponential rational function method
collection DOAJ
language English
format Article
sources DOAJ
author Ali Althobaiti
Saad Althobaiti
K. El-Rashidy
Aly R. Seadawy
spellingShingle Ali Althobaiti
Saad Althobaiti
K. El-Rashidy
Aly R. Seadawy
Exact solutions for the nonlinear extended KdV equation in a stratified shear flow using modified exponential rational method
Results in Physics
Wave solutions
Nonlinear higher order of extended KdV equations
Extension exponential rational function method
author_facet Ali Althobaiti
Saad Althobaiti
K. El-Rashidy
Aly R. Seadawy
author_sort Ali Althobaiti
title Exact solutions for the nonlinear extended KdV equation in a stratified shear flow using modified exponential rational method
title_short Exact solutions for the nonlinear extended KdV equation in a stratified shear flow using modified exponential rational method
title_full Exact solutions for the nonlinear extended KdV equation in a stratified shear flow using modified exponential rational method
title_fullStr Exact solutions for the nonlinear extended KdV equation in a stratified shear flow using modified exponential rational method
title_full_unstemmed Exact solutions for the nonlinear extended KdV equation in a stratified shear flow using modified exponential rational method
title_sort exact solutions for the nonlinear extended kdv equation in a stratified shear flow using modified exponential rational method
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2021-10-01
description In this article, we study the nonlinear higher order of extended KdV equation with free surface displacement. The modified exponential rational function method is used in order to find exact solutions of the extended KdV equation. As a result, various exact solutions for the equation under consideration are obtained. To illustrate the graphical behavior of the results, some of the obtained solutions are presented graphically.
topic Wave solutions
Nonlinear higher order of extended KdV equations
Extension exponential rational function method
url http://www.sciencedirect.com/science/article/pii/S2211379721007956
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AT kelrashidy exactsolutionsforthenonlinearextendedkdvequationinastratifiedshearflowusingmodifiedexponentialrationalmethod
AT alyrseadawy exactsolutionsforthenonlinearextendedkdvequationinastratifiedshearflowusingmodifiedexponentialrationalmethod
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