典型文献
A universal bifurcation mechanism arising from progressive hydroelastic waves
文献摘要：
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 quar-tic 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 Schr?dinger 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 soli-tary 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.
文献关键词：
中图分类号：
作者姓名：
Zhan Wang
作者机构：
Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China;School of Engineering Science,University of Chinese Academy of Sciences,Beijing 100049,China
文献出处：
引用格式：
[1]Zhan Wang-.A universal bifurcation mechanism arising from progressive hydroelastic waves)[J].力学快报（英文）,2022(01):23-29
A类：
quar
B类：
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AB值：
0.522116
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