Particle paths in nonlinear Schrödinger models in the presence of linear shear currents

DOI10.1017/jfm.2018.623zbMath1415.76063OpenAlexW2891940291MaRDI QIDQ4690196

Henrik Kalisch, Christopher W. Curtis, John D. Carter

Publication date: 22 October 2018

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0d2c81c5b59a57cff957bc343d3f521a2d49a0c2

zbMATH Keywords

solitary wavesshear wavessurface gravity waves

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Shear flows and turbulence (76F10)

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Cites Work

• Unnamed Item
• Particle dynamics in the KdV approximation
• Steady water waves with a critical layer
• A Hamiltonian formulation of water waves with constant vorticity
• Pressure beneath a traveling wave with constant vorticity
• A non-local formulation of rotational water waves
• On Lagrangian drift in shallow-water waves on moderate shear
• Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
• Waves and Mean Flows
• Laboratory observations of mean flows under surface gravity waves
• A Unified Approach to Boundary Value Problems
• Interfacial progressive gravity waves in a two-layer shear flow
• Steady Deep-Water Waves on a Linear Shear Current
• Stability of finite-amplitude interfacial waves. Part 3. The effect of basic current shear for one-dimensional instabilities
• An exact theory of nonlinear waves on a Lagrangian-mean flow
• Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
• Wave-induced longitudinal-vortex instability in shear flows
• Langmuir turbulence in the ocean
• On the spacing of Langmuir circulation in strong shear
• The generalized Lagrangian-mean equations and hydrodynamic stability
• Modulation of Gravity Waves with Shear in Water
• Flow structure beneath rotational water waves with stagnation points
• LONG NONLINEAR INTERNAL WAVES
• On a new non-local formulation of water waves
• Shallow water waves on shear flows
• Mass transport in water waves
• Wave Interactions and Fluid Flows