Dynamics and interaction scenarios of localized wave structures in the Kadomtsev-Petviashvili-based system

In this letter, we investigate the dynamics and various interaction scenarios of localized wave structures in the Kadomtsev-Petviashvili (KP)-based system. By using a combination of the Hirota's bilinear method and the KP hierarchy reduction method, new families of determinant semi-rational solutions of the KP-based system are derived, including lump solitons and rogue-wave solitons. The generic interaction scenarios between distinct types of localized wave solutions are investigated. Our detailed study reveals different types of interaction phenomena: fusion of lumps and line solitons into line solitons, fission of line solitons into lumps and line solitons, a mixture of fission and fusion processes of lumps and line solitons, and the inelastic collision of line rogue waves and line solitons. (C) 2019 Elsevier Ltd. All rights reserved.