Interaction of multi-lumps within the Kadomtsev-Petviashvili equation

The interactions of multi-lumps within the Kadomtsev-Petviashvili-1 (KP1) equation are studied analytically and numerically. The dependence of stationary multi-lump structures on free parameters is discussed. The interactions of single lumps with each other and with a more complex objects such as bi-lumps, as well as the interactions of bi-lumps with each other are studied numerically. The results obtained are described and illustrated graphically (the videos are also available). (C) 2017 Elsevier B.V. All rights reserved.