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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Bibliographic Details
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
Description
Summary: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
ISSN:2211-3797