A universal bifurcation mechanism arising from progressive hydroelastic waves  

作　　者：Zhan Wang 

机构地区：[1]Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China [2]School of Engineering Science,University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Theoretical & Applied Mechanics Letters》2022年第1期23-29,共7页力学快报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant No.11772341;the Strategic Priority Research Program of the Chinese Academy of Sciences under Grant No.XDB22040203。

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 Schrödinger 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.

关 键 词：Nonlinear wave Supercritical bifurcation Hydroelastic wave WAVEPACKET 

分 类 号：O352[理学—流体力学]