Rogue wave solutions of the generalized (3+1)-dimensional Kadomtsev-Petviashvili equation

被引：11
|
作者：
Li, Lingfei [1 ]
Xie, Yingying [2 ]
机构：
[1] Northwest Univ, Sch Econ & Management, Xian 710127, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 147卷 / 147期
关键词：
Soliton; Bilinear form; Symbolic computation; Rogue wave; LUMP SOLUTIONS; SOLITONS; WATER; DYNAMICS;
D O I：
10.1016/j.chaos.2021.110935
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main attention of this work focus on finding rogue wave solutions. Here, we analytically derived multi-order rogue wave solutions for the generalized ( 3 + 1 )-dimensional Kadomtsev-Petviashvili equation, through its bilinear form and symbolic computation. First, second and third order rogue waves have been systematically analyzed and the numerical simulations are exhibited to look into their dynamical features. Additionally, we have explored the "circular structure" among the obtained rogue waves. (c) 2021 Elsevier Ltd. All rights reserved.
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页数：12
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