The (G'/G)-expansion method for abundant traveling wave solutions of Caudrey-Dodd-Gibbon equation

Abstract

We construct the traveling wave solutions of the fifth-order Caudrey-Dodd-Gibbon (CDG) equation by the (G'/G) -expansion method. Abundant traveling wave solutions with arbitrary parameters are successfully obtained by this method and the wave solutions are expressed in terms of the hyperbolic, the trigonometric, and the rational functions. It is shown that the (G ′ / G) -expansion method is a powerful and concise mathematical tool for solving nonlinear partial differential equations.