Solitons, cnoidal waves and nonlinear interactions in shallow-water ocean surface waves

DOI10.1016/S0167-2789(98)00112-2zbMath0952.76009OpenAlexW2086892728MaRDI QIDQ1808303

L. Bergamasco, Luigi Cavaleri, Alfred R. Osborne, Marina Serio

Publication date: 6 December 1999

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00112-2

zbMATH Keywords

time seriestheta functionsKorteweg-de Vries equationhyperelliptic functionscnoidal wavesocean wavesnonlinear Fourier analysisAdriatic Seaglobal spatio-temporal phase shiftsnonlinear low-pass and band-pass filteringperiodic inverse scattering transformshallow-water surface wave data

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25)

Related Items

Numerical study on the quantitative error of the Korteweg-de Vries equation for modelling random waves on large scale in shallow water ⋮ Physical mechanisms of the rogue wave phenomenon. ⋮ Two-soliton interaction as an elementary act of soliton turbulence in integrable systems ⋮ Numerical modeling of the KdV random wave field ⋮ Nonlinear waves and solitons in physical systems

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