Abstract
•The (3 + 1)-dimensional Sharma-Tasso-Olver-like (STOL) equation is investigated.•Interaction solutions of the (3 + 1)-dimensional STOL equation are determined.•Lump, periodic lump and double kinky-periodic lump wave solutions are emerged.•Hybrid lump waves are emerged by fission and fusion of lump-kink waves.
In this article, we consider a (3 + 1)-dimensional Sharma–Tasso–Olver-like (STOL) model describing dynamical propagation of nonlinear dispersive waves in inhomogeneous media. Applying Hirota's bilinear technique and a trial function, we explore nonlinear dynamical properties of basic solutions to the STOL model. We find that the fission fusion pattern occurs in the collision between the lump and kink waves, the collision between the lump and periodic waves, and the collision among the lump, kink and periodic waves, which is a novel fascinating collision pattern. We also observe that a large value of the coefficient in the periodic function produces a hybrid lump wave by fission in the collision solution. To better understand the dynamic properties of the obtained collision solutions, we plot a number of 3D and contour diagrams by choosing suitable parametric values with the aid of the computational software Maple 18.