New Exact Soliton Solutions of the ( 3 + 1 )-Dimensional Conformable Wazwaz–Benjamin–Bona–Mahony Equation via Two Novel Techniques

Abstract

In this work, the ( <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M2"> <a:mn>3</a:mn> <a:mo>+</a:mo> <a:mn>1</a:mn> </a:math> )-dimensional Wazwaz–Benjamin–Bona–Mahony equation is formulated in the sense of conformable derivative. Two novel methods of generalized Kudryashov and exp <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" id="M3"> <c:mfenced open="(" close=")"> <c:mrow> <c:mo>−</c:mo> <c:mi>φ</c:mi> <c:mfenced open="(" close=")"> <c:mrow> <c:mi>ℵ</c:mi> </c:mrow> </c:mfenced> </c:mrow> </c:mfenced> </c:math> are investigated to obtain various exact soliton solutions. All algebraic computations are done with the help of the Maple software. Graphical representations are provided in 3D and 2D profiles to show the behavior and dynamics of all obtained solutions at various parameters’ values and conformable orders using Wolfram Mathematica.