Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation

被引：21

作者：

Hosseini, K. ^{[1
]}

Mirzazadeh, M. ^{[2
]}

Aligoli, M. ^{[3
]}

Eslami, M. ^{[4
]}

Liu, J. G. ^{[5
]}

机构：

[1] Islamic Azad Univ, Dept Math, Rasht Branch, Rasht, Iran

[2] Univ Guilan, Fac Technol & Engn, Dept Engn Sci, Rudsar Vajargah 4489163157, Iran

[3] Univ Guilan, Fac Math Sci, Dept Appl Math, POB 41335-1914, Guilan, Rasht, Iran

[4] Univ Mazandaran, Fac Math Sci, Dept Math, Babolsar, Iran

[5] Jiangxi Univ Tradit Chinese Med, Coll Comp, Nanchang 330004, Jiangxi, Peoples R China

来源：

MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2020年 / 15卷

关键词：

(2+1)-dimensional Hirota bilinear equation; generalized form; simplified Hirota's method; ansatz approaches; multiple soliton; breather; rational; complexiton solutions; KADOMTSEV-PETVIASHVILI EQUATION; MULTIPLE-SOLITON-SOLUTIONS; VARIABLE-COEFFICIENTS; LUMP SOLUTIONS; MODIFIED KDV; COMPLEX;

D O I：

10.1051/mmnp/2020018

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A generalized form of (2+1)-dimensional Hirota bilinear (2D-HB) equation is considered herein in order to study nonlinear waves in fluids and oceans. The present goal is carried out through adopting the simplified Hirota's method as well as ansatz approaches to retrieve a bunch of rational wave structures from multiple soliton solutions to breather, rational, and complexiton solutions. Some figures corresponding to a series of rational wave structures are provided, illustrating the dynamics of the obtained solutions. The results of the present paper help to reveal the existence of rational wave structures of different types for the 2D-HB equation.

引用

页数：12

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