Long-wave transverse instability of weakly nonlinear gravity-capillary solitary waves

DOI10.1007/S10665-011-9493-1zbMath1254.76090OpenAlexW2395727912MaRDI QIDQ695516

Boguk Kim

Publication date: 21 December 2012

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-011-9493-1

zbMATH Keywords

perturbation methodEuler equationspseudo-spectral methodweak nonlinearitygravity-capillary solitary waveslong-wave transverse instabilitywater-wave problem

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Solitary waves for incompressible inviscid fluids (76B25)

Related Items (3)

Transverse instability of gravity–capillary solitary waves on deep water in the presence of constant vorticity ⋮ On weakly nonlinear gravity-capillary solitary waves ⋮ Hysteresis phenomena in gravity–capillary waves on deep water generated by a moving two-dimensional/three-dimensional air-blowing/air-suction forcing

Cites Work

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• On gravity–capillary lumps. Part 2. Two-dimensional Benjamin equation
• On the stability of lumps and wave collapse in water waves
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• On gravity–capillary lumps

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