Abundant coherent structures of the dispersive long-wave equation in (2+1)-dimensional spaces

By means of the variable separation approach, the abundant localized coherent structures of a (2+1)-dimensional dispersive long-wave equation (2DDLWE) are given out. The result formula for the coherent solutions is totally the same as that of the asymmetric Nizhnik–Novikov–Veselov equation and the asymmetric Davey–Stewartson equation. Especially, from the figure plots of three-soliton solution, we find that the interaction among the travelling saddle type ring solitons is elastic.