Water Wave Packets Over Variable Depth

DOI10.1111/j.1467-9590.2010.00508.xzbMath1217.35172OpenAlexW1510048705MaRDI QIDQ3004611

R. H. J. Grimshaw, Sergei Yu. Annenkov

Publication date: 3 June 2011

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2010.00508.x

zbMATH Keywords

nonlinear Schrödinger equationsshallow waterwave packetdeep water

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (10)

Wave Packet Defocusing Due to a Highly Disordered Bathymetry ⋮ Freak waves in weakly nonlinear unidirectional wave trains over a sloping bottom in shallow water ⋮ The Korteweg capillarity system. Integrable reduction via gauge and reciprocal links ⋮ Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation ⋮ Phase modulated domain walls and dark solitons for surface gravity waves ⋮ Gray optical dips of Kundu-Mukherjee-Naskar model ⋮ Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons ⋮ The Linear Stability of a Wavetrain Propagating on Water of Variable Depth ⋮ On the quintic time-dependent coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics ⋮ Localized and periodic wave patterns for a nonic nonlinear Schrödinger equation

Cites Work

• Unnamed Item
• On the development of packets of surface gravity waves moving over an uneven bottom
• Slowly varying solitary waves. II. Nonlinear Schrödinger equation
• Evolution of packets of surface gravity waves over smooth topography
• The disintegration of wave trains on deep water Part 1. Theory
• Non-linear dispersion of water waves
• The Propagation of Nonlinear Wave Envelopes

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