Extreme wave phenomena in down-stream running modulated waves

DOI10.1016/j.apm.2006.04.015zbMath1235.76017arXiv1710.10804OpenAlexW2136802394MaRDI QIDQ2466619

N. Karjanto, Embrecht W. C. Van Groesen, A. Andonowati

Publication date: 15 January 2008

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.10804

zbMATH Keywords

rogue waveswave generationfreak wavesBenjamin-Feir instabilityextreme wavesphase singularitywave dislocationhydrodynamic laboratorymaximal temporal amplitudesoliton on finite background

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Soliton equations (35Q51)

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Cites Work

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• New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface
• The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains
• Exact first-order solutions of the nonlinear Schrödinger equation
• An efficient surface integral algorithm applied to unsteady gravity waves
• Wave groups in uni-directional surface-wave models
• Modelling and simulation of surface water waves
• Water waves, nonlinear Schrödinger equations and their solutions
• Statistical properties of wave groups in a random sea state
• Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
• Dislocations in wave trains
• The Perturbed Plane-Wave Solutions of the Cubic Schrödinger Equation
• Three Sources and Three Component Parts of the Concept of Dissipative Solitons
• The disintegration of wave trains on deep water Part 1. Theory
• Unsteady water wave modulations: Fully nonlinear solutions and comparison with the nonlinear Schrödinger equation.

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