With the help of the symbolic computation system Maple and Riccati equation (xi'=a(0)+a(1 xi)+a(2)xi(2)) expansion method and a variable separation method, some complex wave solutions with q=C(1)x+C(2)y+C(3)t+R(x, y, t) of the (2+1)-dimensional Korteweg-de Vries system is derived. Based on the derived solitary wave solution, some novel complex wave localized excitations such as complex wave fusion and complex wave annihilation are investigated.