Abstract
In this new work, two novel modified mathematical methods, called simple equation and F-expansion are devised for exact solutions of Vakhnenko equation, used to handle the transmission of high-frequency waves in a tranquil medium.The constructed results are in exponential, trigonometric and hyperbolic functions. By conveying the specific values for parameters, diverse form of 2D and 3D waves are generated with assistance of Mathematica. The developed solutions are fruitful in NPDEs.