Exact solutions of (2+1) -dimensional Bogoyavlenskii’s breaking soliton equation with symbolic computation

In this paper, the generalized (G′G)-expansion method (Wang et al. (2008) and Zhang et al. (2008) [13] and [14]) is used to construct exact solutions of the (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation. As a result, non-travelling wave solutions with three arbitrary functions are obtained including hyperbolic function solutions, trigonometric function solutions and rational solutions. If the parameters take different values, some more solutions are derived. It is shown that the generalized (G′G)-expansion method, with the help of symbolic computation, provides an effective and powerful method for solving high-dimensional nonlinear partial differential equations in mathematical physics.