Two new standing solitary waves in shallow water

Liao S.

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Two new standing solitary waves in shallow water

机译：Two new standing solitary waves in shallow water

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摘要

In this paper, the closed-form analytic solutions of two new Faraday's standing solitary waves due to the parametric resonance of liquid in a vessel vibrating vertically with a constant frequency are given for the first time. Using a model based on the symmetry of wave elevation and the linearized Boussinesq equation, we gain the closed-form wave elevations of the two kinds of non-monotonically decaying standing solitary waves with smooth crest and the even or odd symmetry. All of them have never been reported, to the best of our knowledge. Besides, they can explain some experimental phenomena well. All of these are helpful to deepen and enrich our understanding about standing solitary waves and Faraday's wave.

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来源
《Wave Motion: An International Journal Reporting Research on Wave Phenomena》 |2013年第4期|785-792|共8页
作者
Liao S.;
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作者单位

State Key Laboratory of Ocean Engineering and Department of Mathematics, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;

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原文格式 PDF
正文语种英语
中图分类物理学;
关键词
Faraday's wave; Parametric resonance; Solitary; Standing wave;

Two new standing solitary waves in shallow water

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