A dispersive regularization of the modulational instability of stratified gravity waves

DOI10.1016/j.wavemoti.2011.06.001zbMath1239.76015OpenAlexW1975889635MaRDI QIDQ423466

Razvan C. Fetecau, David J. Muraki

Publication date: 2 June 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2011.06.001

zbMATH Keywords

modulation theoryinertia gravity wavesregularization of modulational instability

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (1)

Spectral stability of nonlinear gravity waves in the atmosphere

Cites Work

• Dispersive corrections to a modulation theory for stratified gravity waves
• On the propagation of a three-dimensional packet of weakly nonlinear internal gravity waves
• Multiple scale and singular perturbation methods
• Wave–Vortex Interactions in Fluids and Superfluids
• Two-timing, variational principles and waves
• The small dispersion limit of the Korteweg-de Vries equation. I
• Weakly nonlinear internal gravity wavepackets
• A perturbation method for nonlinear dispersive wave problems
• On the mean motion induced by internal gravity waves
• Non-linear internal gravity waves in a slightly stratified atmosphere
• A theory of the propagation of internal gravity waves of finite amplitude
• On slowly-varying Stokes waves
• Nonlinear internal gravity waves in a slowly varying medium
• Internal wave instability: Wave-wave versus wave-induced mean flow interactions
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