New variable separation excitations of (2 + 1)-dimensional dispersive long-water wave system obtained by an extended mapping approach

By means of an extended mapping approach, a new type of variable separation excitation with three arbitrary functions of the (2 + 1)-dimensional dispersive long-water wave system (DLW) is derived. Based on the derived variable separation excitation, abundant localized structures such as dromion, ring, peakon and foldon etc. are re-revealed by selecting appropriate functions in this paper.