N-solitons, breathers and rogue waves for a generalized Boussinesq equation

被引：48

作者：

Ma, Yu-Lan ^{[1
]}

机构：

[1] Beijing Technol & Business Univ, Sch Sci, Beijing 100048, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2020年 / 97卷 / 08期

关键词：

Generalized Boussinesq equation; symbolic computation method; N-soliton; breather; rogue wave; interaction and collision; NONLINEAR SCHRODINGER SYSTEM; SOLITARY WAVES;

D O I：

10.1080/00207160.2019.1639678

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A particular attention is paid on a generalized nonlinear Boussinesq equation which can be used to describe the wave dynamics in fluids. Via symbolic computation method, analytical N-soliton solutions, three types of breather solutions (namely, Kuznetsov-Ma, Akhmediev and generalized breather solutions), and rogue wave solutions are obtained. The extreme points of rogue waves are analyzed in detail. Furthermore, a type of novel X-like soliton is observed.

引用

页码：1648 / 1661

页数：14

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