Exact solitary wave solutions of the complex Klein-Gordon equation

In this letter, we establish some exact solutions for complex nonlinear Klein-Gordon equation u(tt) - p(2)u(xx) + qu + r vertical bar u vertical bar(2)u = 0, where pqr not equal 0. The (G'/G)-expansion method is used to construct exact periodic and soliton solutions of this equation. Our work is motivated by the fact that the (G'/G)-expansion method provides not only more general forms of solutions but also periodic and solitary waves. As a result, hyperbolic function solutions, trigonometric function solutions and rational function solutions with parameters are obtained and shown in some figures. These solutions may be important for the explanation of some practical physical and engineering problems. (C) 2015 Elsevier GmbH. All rights reserved.