High-order breather, M-kink lump and semi-rational solutions of potential Kadomtsev-Petviashvili equation

被引：17
作者：
Cao, Yulei [1 ]
Cheng, Yi [1 ]
He, Jingsong [2 ]
Chen, Yiren [3 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
[2] Shenzhen Univ, Inst Adv Study, Shenzhen 518060, Guangdong, Peoples R China
[3] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Guangdong, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2021年 / 73卷 / 03期
关键词：
PKP equation; bilinear method; breather; M-kink lump; semi-rational solution; SOLITON-LIKE SOLUTIONS; ROGUE WAVE;
D O I：
10.1088/1572-9494/abdaa6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
N-kink soliton and high-order synchronized breather solutions for potential Kadomtsev-Petviashvili equation are derived by means of the Hirota bilinear method, and the limit process of high-order synchronized breathers are shown. Furthermore, M-lump solutions are also presented by taking the long wave limit. Additionally, a family of semi-rational solutions with elastic collision are generated by taking a long-wave limit of only a part of exponential functions, their interaction behaviors are shown by three-dimensional plots and contour plots.
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页数：8
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