Stable three-dimensional waves of nearly permanent form on deep water

DOI10.1016/j.matcom.2006.10.032zbMath1123.76020OpenAlexW1990441183MaRDI QIDQ871075

Walter Craig, Maribeth Oscamou, Harvey Segur, Diane M. Henderson

Publication date: 15 March 2007

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2006.10.032

zbMATH Keywords

dissipationnonlinear Schrödinger equationsBenjamin-Feir instabilitywave damping

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (2)

Plane-wave solutions of a dissipative generalization of the vector nonlinear Schrödinger equation ⋮ Stability of bichromatic gravity waves on deep water

Cites Work

• On short-crested waves: Experimental and analytical investigations
• Nonlinear stability of fluid and plasma equilibria
• Highly nonlinear short-crested water waves
• A numerical study of water-wave modulation based on a higher-order nonlinear Schrödinger equation
• Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
• Third-order approximation to short-crested waves
• Traveling Two and Three Dimensional Capillary Gravity Water Waves
• The disintegration of wave trains on deep water Part 1. Theory
• Contributions to the Theory of Waves in Non-linear Dispersive Systems
• Progressive waves with persistent two-dimensional surface patterns in deep water
• Stabilizing the Benjamin–Feir instability

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