Multiple-order rogue waves for the generalized (2+1)-dimensional Kadomtsev-Petviashvili equation

被引：16
|
作者：
Li, Lingfei [1 ]
Xie, Yingying [2 ]
Mei, Liquan [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：
APPLIED MATHEMATICS LETTERS | 2021年 / 117卷
关键词：
Bilinear form; Kadomtsev-Petviashvili equation; Soliton; Rogue wave; SCHRODINGER-EQUATIONS; OPTICAL SOLITONS; SOLITARY WAVES; LUMP SOLUTIONS; WATER; TRANSFORMATION;
D O I：
10.1016/j.aml.2021.107079
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Starting with the bilinear form of the generalized (2+1)-dimensional Kadomtsev- Petviashvili equation, multiple-order rogue waves have been obtained through symbolic computation. Maximum and minimum values as well as their trajectories for the first order rogue wave are systematically discussed. Moreover, the second order and third order rogue waves are established by eliminating the impact of the mixed partial derivative, and the numerical simulations are demonstrated to visualize their temporal evolution. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：8
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