On the multicomponent weakly interacted generalized (3 + 1)‐dimensional Kadomtsev–Petviashvili equation. (15th September 2021)

• Record Type: Journal Article
• Authors: An, Ling; Li, Chuanzhong
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 18(2022)
• Page Start: 14411
• Page End: 14427
• Publication Date: 2021-09-15
• Subjects: Bäcklund transformation -- bilinear form -- multicomponent weakly interacted KP equation -- rogue wave solution -- soliton solution -- Wronski determinant form; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7708
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we study a multicomponent weakly interacted generalized (3 + 1)‐dimensional Kadomtsev–Petviashvili equation (MWIGKP) from which we can get many different types of equations by choosing different coefficients. Then, we deduce the Bäcklund transformation and Hirota bilinear equations of the equation. Finally, taking the two‐component case as an example, we solve the soliton solutions and the rogue wave solutions in detail. By considering the figures of the weakly coupled rogue wave solutions, we can see that the figure corresponding to first component u is eye shaped, while the figure corresponding to the second component u ^ is butterfly shaped.