| A universal bifurcation mechanism arising from progressive hydroelastic waves | |
Wang Z(王展)
| |
| Source Publication | THEORETICAL AND APPLIED MECHANICS LETTERS
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| 2022-01 | |
| Volume | 12Issue:1Pages:100315 |
| ISSN | 2095-0349 |
| Abstract | 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. |
| Keyword | Nonlinear wave Supercritical bifurcation Hydroelastic wave Wavepacket |
| DOI | 10.1016/j.taml.2021.100315 |
| Indexed By | CSCD |
| Language | 英语 |
| WOS Research Area | Mechanics |
| Funding Organization | National Natural Science Foun-dation of China [11772341] ; Strategic Priority Research Program of the Chinese Academy of Sciences [XDB22040203] |
| Classification | 二类 |
| Ranking | 1 |
| Contributor | 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. |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/93693 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 1.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Wang Z. A universal bifurcation mechanism arising from progressive hydroelastic waves[J]. THEORETICAL AND APPLIED MECHANICS LETTERS,2022,12,1,:100315.Rp_Au: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. |
| 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. |
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| TAML010.pdf（2111KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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