Author(s)

Yuhuai Sun, Hanlei Hu, Jian Zhang

Institute of Mathematics and Software Science, Sichuan Normal University, Chengdu, China.

The generalized Zakharov equation is a coupled equation which is a classic nonlinear mathematic model in plasma. A series of new exact explicit solutions of the system are obtained, by means of the first integral method, in the form of trigonometric and exponential functions. The results show the first integral method is an efficient way to solve the coupled nonlinear equations and get rich explicit analytical solutions.

Generalized Zakharov Equation, First Integral Method, Exact Explicit Solutions

Sun, Y. , Hu, H. and Zhang, J. (2014) New Exact Explicit Solutions of the Generalized Zakharov Equation via the First Integral Method. Open Journal of Applied Sciences, 4, 249-257. doi: 10.4236/ojapps.2014.45025.