Using the extended homogeneous balance method, we have obtained abundant exact solution structures of a (2+ 1)-dimensional integrable model, the Nizhnik-Novikov-Veselov equation. By means of leading order terms analysis,the nonlinear transformations of the Nizhnik-Novikov-Veselov equation are given first, and then some special types of single solitary wave solution and multisoliton-like solutions are constructed.