To seek new infinite sequence exact solutions for nonlinear evolution equations, the formula of nonlinear superposition of some new solutions and Backlund transformation of Riccati equation are given, and combining Riccati equation with function transformation, new infinite sequence exact solutions to a set of (2+1)-dimensional dispersive wave equations are constructed with the aid of symbolic computation system Mathematica, which includes infinite sequence soliton-like solutions and infinite sequence complex solutions. The method is of significance to seek infinite sequence exact solutions to other nonlinear evolution equations.