The occurrence of rogue waves in stratified fluids: A preliminary study
The nonlinear Schr(o)dinger equation (NLSE) governs the evolution of weakly nonlinear and weakly dispersive wave packets for fluids of both homogeneous and stratified density profiles.The occurrence of solitons (localized pulses) and rogue waves (unexpectedly large displacements from a calm background) requires dispersion and nonlinearity of the same sign.In this preliminary study, the dispersion properties of two typical density profiles, a piecewise constant one and one of constant Brunt-V(a)is(a)l(a) frequency (constant N2) are investigated.Sign change patterns, group velocities and eigenfunctions display dramatically different properties.The choice of density profiles in modeling oceanic internal waves is thus important.
Stratified Fluids Taylor-Goldstein equation Nonlinear Schr(o)dinger equation (NLSE) Rogue Wave
Eric Tianyang Liu Hiuning Chan Kwok Wing Chow
Department of Mechanical Engineering, University of Hong Kong, Pokfulam, Hong Kong
国际会议
The Second Conference of Global Chinese Scholars on Hydrodynamics(第二届全球华人水动学学术会议)
江苏 无锡
英文
157-162
2016-11-11(万方平台首次上网日期,不代表论文的发表时间)