New exact solutions of the KdV–Burgers–Kuramoto equation

A generalized F-expansion method is proposed and applied to the KdV–Burgers–Kuramoto equation. As a result, many new and more general exact travelling wave solutions are obtained including combined non-degenerate Jacobi elliptic function solutions, solitary wave solutions and trigonometric function solutions. The method can be applied to other nonlinear partial differential equations in mathematical physics.