Lump and rogue wave solutions to a (2+1)-dimensional Boussinesq type equation

被引：45

作者：

Zhou, Yuan ^{[1
]}

Manukure, Solomon ^{[2
]}

McAnally, Morgan ^{[3
]}

机构：

[1] Shanghai Int Studies Univ, Xianda Coll Econ & Humanities, Shanghai 200083, Peoples R China

[2] Florida A&M Univ, Dept Math, Tallahassee, FL 32307 USA

[3] Univ Tampa, Dept Math, Tampa, FL 33606 USA

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2021年 / 167卷

关键词：

Boussinesq equation; The Hirota method; Lump solution; Line rogue wave; DE-VRIES EQUATION; MULTIPLE COLLISIONS; BACKLUND TRANSFORMATION; SOLITON-SOLUTIONS; NLS EQUATION; KP; DYNAMICS;

D O I：

10.1016/j.geomphys.2021.104275

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a (2+1)-dimensional Boussinesq type equation. By applying the Hirota direct method, lump and line rogue wave solutions are presented with the aid of symbolic computations. The solutions are expressed in terms of a set of restricted parameters with necessary and sufficient conditions that guarantee their existence. An interesting result is that when the parameters meet the rank requirement, we have lump solutions, otherwise, we may get line rogue waves. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：7

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