Compacton,Peakon,and Foldon Structures in the (2+1)-Dimensional Nizhnik-Novikov-Veselov Equation

By the use of the extended homogenous balance method,the B(?)cklund transformation for a (2+1)-dimensional integrable model,the(2+1)-dimensional Nizhnik-Novikov-Veselov (NNV) equation,is obtained,and thenthe NNV equation is transformed into three equations of linear,bilinear,and tri-linear forms,respectively.From theabove three equations,a rather general variable separation solution of the model is obtained.Three novel class localizedstructures of the model are founded by the entrance of two variable-separated arbitrary functions.