New Exact Solutions to the Generalized Zakharov Equations and the Complex Coupled KdV Equations

In this paper, we obtain several types of exact traveling wave solutions of the generalized Zakharov equations and the complex coupled KdV equations by using improved Riccati equations method. These explicit exact solutions contain solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions. The method can also be applied to solve more nonlinear partial differential equations. Key Words: Improved Riccati equations method; Generalized Zakharov equations; Complex coupled KdV equations; Solitary wave solutions; Periodic wave solutions