Analysis on lump, lumpoff and rogue waves with predictability to the (2 + 1)-dimensional B-type Kadomtsev–Petviashvili equation

Publication date: Available online 7 August 2018Source: Physics Letters AAuthor(s): Wei-Qi Peng, Shou-Fu Tian, Tian-Tian ZhangAbstractIn this work, we investigate the (2+1)-dimensional B-type Kadomtsev–Petviashvili (BKP) equation, which can be used to describe weakly dispersive waves propagating in the quasi media and fluid mechanics. We construct the more general lump solutions, localized in all directions in space, with more arbitrary autocephalous parameters. By considering a stripe soliton generated completely by lump solution, a lumpoff solution is presented. Its lump part is cut by soliton part before or after a specific time, with a specific divergence relationship. Furthermore, combining a pair of stripe solitons, we obtain the special rogue waves when lump solution is cut by double solitons. Our results show that the emerging time and place of the rogue waves can be caught through tracking the moving path of lump solution, and confirming when and where it happens a collision with the visible soliton. Finally, some graphic analysis are discussed to understand the propagation phenomena of these solutions.

Source: Physics Letters A - August 8, 2018 Category: Physics Source Type: research