Abundant Solitary Wave Solutions for the Boiti–Leon–Manna–Pempinelli Equation with M-Truncated Derivative
Farah M. Al‐Askar, Clemente Cesarano, Wael W. Mohammed
Abstract
In this work, we consider the Boiti–Leon–Manna–Pempinelli equation with the M-truncated derivative (BLMPE-MTD). Our aim here is to obtain trigonometric, rational and hyperbolic solutions of BLMPE-MTD by employing two diverse methods, namely, He’s semi-inverse method and the extended tanh function method. In addition, we generalize some previous results. As the Boiti–Leon–Manna–Pempinelli equation is a model for an incompressible fluid, the solutions obtained may be utilized to represent a wide variety of fascinating physical phenomena. We construct a large number of 2D and 3D figures to demonstrate the impact of the M-truncated derivative on the exact solution of the BLMPE-MTD.
Topics & Concepts
Hyperbolic functionDerivative (finance)MathematicsTrigonometric functionsMathematical analysisApplied mathematicsMathematical physicsGeometryEconomicsFinancial economicsNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems