Conservation laws and a new expansion method for sixth order Boussinesq equation

Abstract

In this study, we analyze the conservation laws of a sixth order Boussinesq equation by using variational derivative. We get sixth order Boussinesq equation's traveling wave solutions with (1/G')-expansion method which we constitute newly by being inspired with (G'/G)-expansion method which is suggested in [1]. We investigate conservation laws of the analytical solutions which we obtained by the new constructed method. The analytical solution's conductions which we get according to new expansion method are given graphically.