Lump-type solutions and interaction solutions for the (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation

Exploiting the Hirota's bilinear form, we gain new lump-type solutions of the (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation. The interaction between lump-type solutions and double-exponential functions are considered. The shape and features for these resulting solutions are described by taking advantage of the three-dimensional plots and corresponding contour plots by choosing appropriate parameters. The physical meaning of these graphs is given.