Rational solutions and rogue waves of the generalized (2+1)-dimensional Kadomtsev-Petviashvili equation

被引：3

作者：

Xie, Yingying ^{[1
]}

Yan, Yongsheng ^{[2
]}

Li, Lingfei ^{[2
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

[2] Northwest Univ, Sch Econ & Management, Xian 710127, Peoples R China

来源：

CHINESE JOURNAL OF PHYSICS | 2022年 / 77卷

关键词：

Bilinear form; Rational solution; Rogue wave; Soliton; Symbolic computation; SCHRODINGER-EQUATIONS; SOLITON-SOLUTIONS; LUMP SOLUTIONS; WATER; STRIPE;

D O I：

10.1016/j.cjph.2021.11.010

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

There is fundamental and applicative interest in finding rogue wave solutions that "appears from nowhere and disappears without a trace". Here, we analytically derived multi-order rogue wave solutions for a generalized (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation through its bilinear form and symbolic computation. These solutions comprise four independent solutions of the bilinear equation and depend on two arbitrary parameters, which can be used to shape the appearance of the wave. Moreover, we have looked into the inner mechanism between the polynomial F-n and the rogue wave solution u(n).

引用

页码：2047 / 2059

页数：13

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