Exact Single Traveling Wave Solutions for Generalized Fractional Gardner Equations

Abstract EN

In this paper, the classification of all single traveling wave solutions to generalized fractional Gardner equations is presented by utilizing the complete discrimination system method.

Under the fractional traveling wave transformation, generalized fractional Gardner equations can be reduced to an ordinary differential equations.

All possible exact traveling wave solutions are given through the complete discrimination system of the fourth-order polynomial.

Moreover, graphical representations of different kinds of the exact solutions reveal that the method is of significance for searching the exact solutions to generalized fractional Gardner equations.