Diversity of interaction solutions to the (3+1)-dimensional Kadomtsev–Petviashvili–Boussinesq-like equation

Abstract

The (3[Formula: see text]+[Formula: see text]1)-dimensional Kadomtsev–Petviashvili–Boussinesq-like equation has some advantages when it is applied to solve engineering problems. Via using the Hirota method and symbolic computation Mathematica, we get the lump, interaction solution and breather-wave solution under certain constraints. An interesting feature of the resulting interaction solution involves arbitrary function. Illustrative examples of the resulting solution are shown by drawing.