On the Exact Solutions to Conformable Equal width Wave Equation by Improved Bernoulli Sub-Equation Function Method

Volkan Ala; Ulviye Demirbilek; Khanlar Rashid Mamedov

doi:10.14529/mmph210301

Authors

Volkan Ala Mersin University, Mersin http://orcid.org/0000-0002-8499-9979
Ulviye Demirbilek Mersin University, Mersin http://orcid.org/0000-0002-5767-1089
Khanlar Rashid Mamedov Mersin University, Mersin http://orcid.org/0000-0002-3283-9535

DOI:

https://doi.org/10.14529/mmph210301

Keywords:

improved Bernoulli sub-equation function method, conformable equal width wave equation, wave transformation

Abstract

In this paper, we consider conformable equal width wave (EW) equation in order to construct its exact solutions. This equation plays an important role in physics and gives an interesting model to define change waves with weak nonlinearity. The aim of this paper is to present new exact solutions to conformable EW equation. For this purpose, we use an effective method called Improved Bernoulli Sub-Equation Function Method (IBSEFM). Based on the values of the solutions, the 2D and 3D graphs and contour surfaces are plotted with the aid of mathematics software. The obtained results confirm that IBSEFM is a powerful mathematical tool to solve nonlinear conformable partial equations arising in mathematical physics.