Transmission of high-frequency waves in a tranquil medium with general form of the Vakhnenko dynamical equation
Aly R. Seadawy, Asghar Ali, Dumitru Bǎleanu
Abstract
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.
Topics & Concepts
TrigonometryHyperbolic functionTrigonometric functionsExponential functionSimple (philosophy)Transmission (telecommunications)Mathematical analysisWork (physics)PhysicsApplied mathematicsMathematicsComputer scienceTelecommunicationsGeometryQuantum mechanicsEpistemologyPhilosophyNonlinear Waves and SolitonsNonlinear Photonic SystemsNumerical methods for differential equations