Construction of lump-type and interaction solutions to an extended (3+1)-dimensional Jimbo–Miwa-like equation

Abstract

We present lump-type solutions and interaction solutions to an extended (3[Formula: see text]+[Formula: see text]1)-dimensional Jimbo–Miwa-like equation. Three classes of lump-type solutions are obtained by the Hirota bilinear method. Interaction solutions are among lump-type solutions, two kink waves and periodic waves, and between two kink waves and a periodic wave are computed. Dynamical characters of the obtained solutions are graphically exhibited. These wave solutions enrich the dynamical theory of higher-dimensional nonlinear dispersive wave equations.