Abstract
In this paper, a new version of the solution in form of Grammian for the (2+1)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili equation is obtained with the aid of the polynomial function. A family of multiple lump solutions are constructed. All the center points of the lumps form a triangular structure as the auxiliary variable tends to the negative or positive large values. A unified scheme for constructing the high-order rogue wave solutions is proposed. This new type of rogue wave reflects the appearance and disappearance of multiple lump waves in the background of N-kink solitons. The results can well mimic complex waves and explain complex dynamics in fluids.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
