The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations

Abstract

In this research, we use the multi-wave method to obtain new exact solutions for generalized forms of the 5 th order KdV equation and the fifth order KdV (fKdV) equation with power law nonlinearity. Computations are performed with the help of the mathematics software Mathematica. Then periodic wave solutions, bright soliton solutions and rational function solutions with free parameters are obtained by this approach. It is shown that this method is very useful and effective.