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New type of multiple lump and rogue wave solutions of the (2+1)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili equation
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2022-07-01 , DOI: 10.1016/j.aml.2022.108294
Zhonglong Zhao, Juan Yue, Lingchao He

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.



中文翻译:

(2+1)维Bogoyavlenskii-Kadomtsev-Petviashvili方程的新型多重集总波和流氓波解

在本文中,借助多项式函数,获得了 (2+1) 维 Bogoyavlenskii-Kadomtsev-Petviashvili 方程的新版本的格拉姆形式解。构建了一系列多块解决方案。当辅助变量趋于负或正大值时,块的所有中心点形成三角形结构。提出了一种构建高阶流氓波解的统一方案。这种新型的流氓波反映了背景中多个团状波的出现和消失。ñ-扭结孤子。结果可以很好地模拟复杂的波并解释流体中的复杂动力学。

更新日期:2022-07-05
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