Abstract
In this paper, we obtained a kind of lump solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation with the assistance of Mathematica. Some contour plots with different determinant values are sequentially made to show that the corresponding lump solutions tend to zero when x2+y2→∞. Particularly, lump solutions with specific values of the include parameters are plotted, as illustrative examples. Finally, a combination of stripe soliton and lump soliton is discussed to the KP-BBM equation, in which such a solution presents two different interesting phenomena: lump-kink and lump-soliton. Simultaneously, breather rational soliton solutions are displayed.
Highlights
Soliton, rogue waves, lump solutions, breather waves and interaction solutions of nonlinear evolution equations (NLEEs) have attracted more and more attention [1] [2] [3] [4], and lump solutions are a kind of rational function and localized in all directions of space
We obtained a kind of lump solutions of the KadomtsevPetviashvili-Benjamin-Bona-Mahony (KP-BBM) equation with the assistance of Mathematica
Rogue waves, lump solutions, breather waves and interaction solutions of nonlinear evolution equations (NLEEs) have attracted more and more attention [1] [2] [3] [4], and lump solutions are a kind of rational function and localized in all directions of space
Summary
Rogue waves, lump solutions, breather waves and interaction solutions of nonlinear evolution equations (NLEEs) have attracted more and more attention [1] [2] [3] [4], and lump solutions are a kind of rational function and localized in all directions of space. The study of lump solution has been lack of development because of the complexity in the process that the lump solution of NLEEs can be solved He successfully proved form of the solution and its existence [13]. We would like to focus on KP-BBM equation It has a Hirota bilinear form, and so, we will do a search for the positive quadratic function solutions to the corresponding bilinear KP-BBM equation. Some conclusions will be drawn at the end of this article
Sign-in/Register to view highlights & summary 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
