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A universal bifurcation mechanism arising from progressive hydroelastic waves

文献类型：期刊论文

作者Wang Z(王展)
刊名THEORETICAL AND APPLIED MECHANICS LETTERS
出版日期2022-01
卷号12期号:1页码:100315
关键词Nonlinear wave Supercritical bifurcation Hydroelastic wave Wavepacket
ISSN号2095-0349
DOI10.1016/j.taml.2021.100315
英文摘要A unidirectional, weakly dispersive nonlinear model is proposed to describe the supercritical bifurcation arising from hydroelastic waves in deep water. This model equation, including quadratic, cubic, and quartic nonlinearities, is an extension of the famous Whitham equation. The coefficients of the nonlinear terms are chosen to match with the key properties of the full Euler equations, precisely, the associated cubic nonlinear Schrodinger equation and the amplitude of the solitary wave at the bifurcation point. It is shown that the supercritical bifurcation, rich with Stokes, solitary, generalized solitary, and dark solitary waves in the vicinity of the phase speed minimum, is a universal bifurcation mechanism. The newly developed model can capture the essential features near the bifurcation point and easily be generalized to other nonlinear wave problems in hydrodynamics. (c) 2021 The Author(s). Published by Elsevier Ltd on behalf of The Chinese Society of Theoretical and Applied Mechanics.
分类号二类
WOS研究方向Mechanics
语种英语
资助机构National Natural Science Foun-dation of China [11772341] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB22040203]
其他责任者Wang, Z (corresponding author), Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China. ; Wang, Z (corresponding author), Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China.
源URL[http://dspace.imech.ac.cn/handle/311007/93693]  
专题力学研究所_流固耦合系统力学重点实验室(2012-)
作者单位1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Wang Z. A universal bifurcation mechanism arising from progressive hydroelastic waves[J]. THEORETICAL AND APPLIED MECHANICS LETTERS,2022,12(1):100315.
APA 王展.(2022).A universal bifurcation mechanism arising from progressive hydroelastic waves.THEORETICAL AND APPLIED MECHANICS LETTERS,12(1),100315.
MLA 王展."A universal bifurcation mechanism arising from progressive hydroelastic waves".THEORETICAL AND APPLIED MECHANICS LETTERS 12.1(2022):100315.

入库方式： OAI收割

来源：力学研究所

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