Application of the modified exponential function method to Vakhnenko-Parkes equation

Volume 6, Issue 1, pp 8--14 http://dx.doi.org/10.22436/mns.06.01.02

Publication Date: April 11, 2020 Submission Date: August 01, 2019 Revision Date: September 27, 2019 Accteptance Date: December 06, 2019

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Authors

Gulnur Yel - Faculty of Educational Sciences, Final International University, Kyrenia, Mersin 10, Turkey. Tolga Akturk - Department of Mathematics and Science Education, Faculty of Education, Ordu University, Turkey.

Abstract

In this paper, we submit some new travelling wave solutions for the Vakhnenko--Parkes equation via the modified exponential function method. The obtained solutions include hyperbolic, exponential, trigonometric function solutions. Regarding these solutions, the 2D and 3D graphs and contour simulations are presented.

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Keywords

• The nonlinear evolution equations
• the Vakhnenko--Parkes equation
• the modified exponential function method

MSC

•  35C07
•  35D99
•  65K99

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