Modulational instability of two obliquely interacting waves in presence of a thin pycnocline

DOI10.1016/J.EUROMECHFLU.2020.07.013zbMath1478.76035OpenAlexW3047461529MaRDI QIDQ821153

Suma Debsarma, Anushri Purkait

Publication date: 20 September 2021

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2020.07.013

zbMATH Keywords

nonlinear evolution equationwave packetcrossing seaspycnocline depthweekly nonlinear instability analysis

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Internal waves for incompressible inviscid fluids (76B55) Stratification effects in inviscid fluids (76B70)

Cites Work

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• Coupling between a surface-wave spectrum and an internal wave: modulational interaction
• On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves
• Fourth-order nonlinear evolution equations for surface gravity waves in the presence of a thin thermocline
• The current-modified nonlinear Schrödinger equation
• Fourth-order coupled nonlinear Schrödinger equations for gravity waves on deep water

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