Exact solutions of (2+1) -dimensional Bogoyavlenskiis breaking soliton equation with symbolic computation
In this paper, the generalized ( G ? G )-expansion method (Wang etal. (2008) and Zhang etal. (2008)[13]and[14]) is used to construct exact solutions of the (2+1)-dimensional Bogoyavlenskiis 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.
(2+1)-dimensional bogoyavlenskiis breaking soliton equation hyperbolic function solutions trigonometric function solutions rational solutions ( g ? g )-expansion method g ? g g ? g g ? g