Long-time evolution of an unstable water-wave train

DOI10.1017/S0022112082000433zbMath0489.76024OpenAlexW2125466276MaRDI QIDQ3951755

Michael Stiassnie, Uri I. Kroszynski

Publication date: 1982

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112082000433

zbMATH Keywords

nonlinear Schrödinger equationone-dimensionlong time unstable wave train development

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Instability and disturbance amplification in a mixed-convection boundary layer, Analytical instability of the Klein-Gordon equation, Evolution of a short surface wave on a very long surface wave of finite amplitude, Derivation of the nonlinear Schrödinger equation for shoaling wave- groups, Energy computations for evolution of class I and II instabilities of Stokes waves, Experimental and theoretical investigation of nonlinear sloshing waves in a rectangular channel, Recurrent solutions of Alber's equation for random water-wave fields, Unnamed Item, Recurrent solutions of the Alber equation initialized by Joint North Sea Wave Project spectra, Unsteady water wave modulations: Fully nonlinear solutions and comparison with the nonlinear Schrödinger equation., Nonlinear hydroelastic waves on a linear shear current at finite depth, Roles of sideband instability and mode coupling in forming a water-wave chaos, Shoaling of nonlinear wave-groups on water of slowly varying depth

Cites Work

• On the development of packets of surface gravity waves moving over an uneven bottom
• Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
• Nonlinear Wave Groups in Deep Water
• The disintegration of wave trains on deep water Part 1. Theory