Dark Localized Waves in Shallow Waters:Analysis within an Extended Boussinesq System

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外文摘要：We study dark localized waves within a nonlinear system based on the Boussinesq approximation,describing the dynamics of shallow water waves.Employing symbolic calculus,we apply the Hirota bilinear method to transform an extended Boussinesq system into a bilinear form,and then use the multiple rogue wave method to obtain its dark rational solutions.Exploring the first-and second-order dark solutions,we examine the conditions under which these localized solutions exist and their spatiotemporal distributions.Through the selection of various parameters and by utilizing different visualization techniques(intensity distributions and contour plots),we explore the dynamical properties of dark solutions found:in particular,the first-and second-order dark rogue waves.We also explore the methods of their control.The findings presented here not only deepen the understanding of physical phenomena described by the(1+1)-dimensional Boussinesq equation,but also expand avenues for further research.Our method can be extended to other nonlinear systems,to conceivably obtain higher-order dark rogue waves.

作者：

Zhengping Yang、Wei-Ping Zhong、Milivoj Beli?

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作者单位：

Department of Medical Science,Shunde Polytechnic,Shunde 528300,China

Department of Electronic Engineering,Shunde Polytechnic,Shunde 528300,China

Division of Arts and Sciences,Texas A & M University at Qatar,23874 Doha,Qatar

基金：

国家自然科学基金广东省自然科学基金Key projects of basic research and applied basic research in universities of Guangdong province,ChinaKey projects of basic research and applied basic research in universities of Guangdong province,ChinaQatar National Research Fund(a member of Qatar Foundation)

项目编号：

622751762022A15150100842021ZDZX11182022ZDZX1079NPRP 13S-0121-200126

出版年：

2024

DOI：

10.1088/0256-307X/41/4/044201

中国物理快报(英文版)

中国科学院物理研究所,中国物理学会

中国物理快报(英文版)

CSTPCDEI

影响因子：0.515

ISSN：0256-307X

年,卷(期)：2024.41(4)

参考文献量28