New Exact Solutions of (2 + 1)-Dimensional Bogoyavlenskii Equation by the Sine-Cosine Method

By using the sine-cosine method proposed recently, we give the exact periodic and soliton solutions of the (2 + 1)-dimensional Bogoyavlen- skii equation in this paper. Many new families of exact traveling wave solutions of the (2 + 1)-dimensional Bogoyavlenskii equation are suc- cessfully obtained. The computation for the method appears to be easier and faster by general mathematical software.

Sine-cosine method, Bogoyavlenskii equation, Periodic solu- tion, Soliton solution.