Variable separation solution for an extended (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

This paper proposes a new variable separation solution for the (3+1)-dimensional nonlinear evolution equation. The new variable separation solution directly gives the analytical form of the solution u instead of its potential uy and renders a distinct way to construct localized excitation. Taking the extended (3+1) dimensional Boiti-Leon-Manna-Pempinelli equation as an example, we test its integrability at first. Then, we analyze the elastic, inelastic head-on collision of two and three folded solitary waves by introducing several suitable multi-valued functions. Specifically, the superimposed structure of folded waves is studied, and plenty of novel patterns have been obtained. (C) 2022 Elsevier Ltd. All rights reserved.