ON THE EXACT SOLUTIONS TO CONFORMABLE EQUAL WIDTH WAVE EQUATION BY IMPROVED BERNOULLI SUB-EQUATION FUNCTION METHOD
Copyright policy )ON THE EXACT SOLUTIONS TO CONFORMABLE EQUAL WIDTH WAVE EQUATION BY IMPROVED BERNOULLI SUB-EQUATION FUNCTION METHOD
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.
- South Ural State University (Южно-Уральский государственный университет) Russian Federation
- Mersin University Turkey
усовершенствованный функциональный метод под-уравнения Бернулли, wave transformation, improved Bernoulli sub-equation function method, УДК 517.9, согласованное равномощное волновое уравнение, Fractional partial differential equations, Solutions to PDEs in closed form, conformable equal width wave equation, волновое преобразование, Transform methods (e.g., integral transforms) applied to PDEs, conformable equalwidth wave equation
усовершенствованный функциональный метод под-уравнения Бернулли, wave transformation, improved Bernoulli sub-equation function method, УДК 517.9, согласованное равномощное волновое уравнение, Fractional partial differential equations, Solutions to PDEs in closed form, conformable equal width wave equation, волновое преобразование, Transform methods (e.g., integral transforms) applied to PDEs, conformable equalwidth wave equation
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