Singular solitons in the pseudo-parabolic model arising in nonlinear surface waves

Singular solitons in the pseudo-parabolic model arising in nonlinear surface waves

This manuscript aims to construct a family of travelling wave solutions to the high nonlinearity differential equation for obtaining new hyperbolic function solutions by using an analytical method, which is based on the exponential function. A number of new hyperbolic solutions for the model have be...

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Main Authors: Onur Alp Ilhan, Alaattin Esen, Hasan Bulut, Haci Mehmet Baskonus
Format: Article
Language:English
Published: Elsevier 2019-03-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379719300270
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spelling doaj-cb2ecdd7c0fa47c88e786a1d7c0981922020-11-25T00:13:21ZengElsevierResults in Physics2211-37972019-03-011217121715Singular solitons in the pseudo-parabolic model arising in nonlinear surface wavesOnur Alp Ilhan0Alaattin Esen1Hasan Bulut2Haci Mehmet Baskonus3Faculty of Education, Erciyes University, Kayseri, Turkey; Corresponding author.Faculty of Science, Inonu University, Malatya, TurkeyFaculty of Science, Firat University, Elazig, Turkey; Faculty of Education, Final International University, Kyrenia, CyprusFaculty of Education, Harran University, Sanliurfa, TurkeyThis manuscript aims to construct a family of travelling wave solutions to the high nonlinearity differential equation for obtaining new hyperbolic function solutions by using an analytical method, which is based on the exponential function. A number of new hyperbolic solutions for the model have been newly derived by using the method. We take advantage of some computer programming for all numerical calculations, and surfaces of solutions obtained in this paper. Keywords: Benjamin-Bona-Mahony-Peregrine-Burgers equation, The modified exponential function method, Hyperbolic function solutionhttp://www.sciencedirect.com/science/article/pii/S2211379719300270
collection DOAJ
language English
format Article
sources DOAJ
author Onur Alp Ilhan
Alaattin Esen
Hasan Bulut
Haci Mehmet Baskonus
spellingShingle Onur Alp Ilhan
Alaattin Esen
Hasan Bulut
Haci Mehmet Baskonus
Singular solitons in the pseudo-parabolic model arising in nonlinear surface waves
Results in Physics
author_facet Onur Alp Ilhan
Alaattin Esen
Hasan Bulut
Haci Mehmet Baskonus
author_sort Onur Alp Ilhan
title Singular solitons in the pseudo-parabolic model arising in nonlinear surface waves
title_short Singular solitons in the pseudo-parabolic model arising in nonlinear surface waves
title_full Singular solitons in the pseudo-parabolic model arising in nonlinear surface waves
title_fullStr Singular solitons in the pseudo-parabolic model arising in nonlinear surface waves
title_full_unstemmed Singular solitons in the pseudo-parabolic model arising in nonlinear surface waves
title_sort singular solitons in the pseudo-parabolic model arising in nonlinear surface waves
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2019-03-01
description This manuscript aims to construct a family of travelling wave solutions to the high nonlinearity differential equation for obtaining new hyperbolic function solutions by using an analytical method, which is based on the exponential function. A number of new hyperbolic solutions for the model have been newly derived by using the method. We take advantage of some computer programming for all numerical calculations, and surfaces of solutions obtained in this paper. Keywords: Benjamin-Bona-Mahony-Peregrine-Burgers equation, The modified exponential function method, Hyperbolic function solution
url http://www.sciencedirect.com/science/article/pii/S2211379719300270
work_keys_str_mv AT onuralpilhan singularsolitonsinthepseudoparabolicmodelarisinginnonlinearsurfacewaves
AT alaattinesen singularsolitonsinthepseudoparabolicmodelarisinginnonlinearsurfacewaves
AT hasanbulut singularsolitonsinthepseudoparabolicmodelarisinginnonlinearsurfacewaves
AT hacimehmetbaskonus singularsolitonsinthepseudoparabolicmodelarisinginnonlinearsurfacewaves
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