Rogue Waves and Hybrid Solutions of the Boussinesq Equation

被引：45

作者：

Rao, Ji-Guang ^{[1
]}

Liu, Yao-Bin ^{[1
]}

Qian, Chao ^{[1
]}

He, Jing-Song ^{[1
]}

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2017年 / 72卷 / 04期

关键词：

Boussinesq Equation; Hirota Bilinear Method; Hybrid Solutions; Rogue Waves; SCHRODINGER-EQUATIONS; RATIONAL SOLUTIONS; NLS EQUATION; WATER; TRANSFORMATION; MECHANISMS; BREATHERS; SOLITONS; SYSTEM;

D O I：

10.1515/zna-2016-0436

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The rational and semirational solutions in the Boussinesq equation are obtained by the Hirota bilinear method and long wave limit. It is shown that the rational solutions contain dark and bright rogue waves, and their typical dynamics are analysed and illustrated. The semirational solutions possess a range of hybrid solutions, and the hybrid of rogue wave and solitons are demonstrated in detail by the three-dimensional figures. Under certain parameter conditions, a new kind of semirational solutions consisted of rogue waves, breathers and solitons is discovered, which describes the dynamics of the rogue waves interacting with the breathers and solitons at the same time.

引用

页码：307 / 314

页数：8

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