Analytical solutions fractional order partial differential equations arising in fluid dynamics

This article describes the solution procedure of the fractional Pade-II equation and generalized Zakharov equation(GSEs) using the sine-cosine method. Pade-II is an important nonlinear wave equation modeling unidirectional propagation of long-wave in dispersive media and GSEs are used to model the interaction between one-dimensional high, and low-frequency waves. Classes of trigonometric and hyperbolic function solutions in fractional calculus are discussed. Graphical simulations of the numerical solutions are flaunted by MATLAB.