On the new hyperbolic function solutions to the (2+1)-dimensional BKK system

Abstract

In this paper, we successfully implement the powerful sine-Gordon expansion method the (2+1)-dimensional BKK system. We succeed in constructing some new analytical hyperbolic function solutions. We check all the analytical solutions by using Wolfram Mathematica 9, and they are indeed verified to be the solutions of (2+1)-dimensional BKK system. We also plot the two- and threedimensional surfaces for all the analytical solutions obtained in this paper using the same computer program. We finally, submit a comprehensive conclusion.