A study of lump and line rogue wave solutions to a (2+1)-dimensional nonlinear equation

被引：34
作者：
Manukure, Solomon [1 ]
Zhou, Yuan [2 ]
机构：
[1] Florida A&M Univ, Dept Math, Tallahassee, FL 32307 USA
[2] Shanghai Int Studies Univ, Xianda Coll Econ & Humanities, Sch Business, Shanghai 200083, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2021年 / 167卷
关键词：
Lump solutions; Rogue waves; Hirota bilinear form; Hietarinta equation; KADOMTSEV-PETVIASHVILI EQUATION; PARTIAL-DIFFERENTIAL-EQUATIONS; COMPLEXITON SOLUTIONS; SOLITONS; BREATHER;
D O I：
10.1016/j.geomphys.2021.104274
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a new (2+1)-dimensional extension of the Hietarinta equation is proposed. Two classes of lump and line rogue wave solutions are obtained for this equation by means of the Hirota bilinear method. These solutions, which are algebraically decaying rational solutions, arise from quadratic function solutions to the associated bilinear equation through a logarithmic transformation. Necessary and sufficient conditions that guarantee analiticity and rational localization of the solutions are also given, and finally, graphical representations of the solutions for some selected parameters are presented. (C) 2021 Elsevier B.V. All rights reserved.
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页数：12
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