A universal bifurcation mechanism arising from progressive hydroelastic waves

doi:10.1016/j.taml.2021.100315

CORC > 力学研究所 > 中国科学院力学研究所 > 流固耦合系统力学重点实验室(2012-)

	A universal bifurcation mechanism arising from progressive hydroelastic waves
	Wang Z(王展)
刊名	THEORETICAL AND APPLIED MECHANICS LETTERS
	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
DOI	10.1016/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.
内容类型	期刊论文
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.