In this paper, using the modified Clarkson-Kruskal direct method, the symmetries and the reductions of (2+1) dimensional Broer-Kau-Kupe-rshmidt (BKK) are obtained. At the same time, a great many of solutions are derived by solving the reduction equations, including the rational functions hyperbolic functions, the trigonometric functions, the power series solution, and the Airy function solution.