Rogue Waves and Hybrid Solutions of the Boussinesq Equation-Reference-Cited by-同舟云学术

Rogue Waves and Hybrid Solutions of the Boussinesq Equation

Published:2017-01-25 Issue:4 Volume:72 Page:307-314
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Rao Ji-Guang¹,Liu Yao-Bin¹,Qian Chao¹,He Jing-Song²

Affiliation:

1. Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, P.R. China

2. Department of Mathematics, Ningbo University, Ningbo, Zhejiang, 315211, P.R. China , E-mail:

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2016-0436/pdf

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