Abstract: In this paper, the generalizedG′G-expansion method is used to construct exact solutions of the (2+1)-dimensional Boiti-Leon-Pempinelli system. As a result, non-travelling wave solutions with arbitrary functions are obtained including hyperbolic function solutions, trigono-metric function solutions and rational solutions. If the parameters take different values, some more solutions are derived. It is shown that the generalizedG′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.

Key words: (2+1)-dimensional Boiti-Leon-Pempinelli system, generalizedG′G-expansion method, hyperbolic function solutions, trigonometric function solutions, rational solutions