Evolution in space and time of resonant wave triads - I. The 'pump-wave approximation'

DOI10.1098/RSPA.1978.0166zbMath0392.35048OpenAlexW2045303904MaRDI QIDQ4173736

John A. Adam, Alex D. D. Craik

Publication date: 1978

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1978.0166

zbMATH Keywords

Evolution EquationsEvolution of Initially Localized DisturbancesEvolution of Weakly Nonlinear Resonant Wave TriadsPump-Wave Approximation

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Integral representations of solutions to PDEs (35C15) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Lump interaction phenomena to the nonlinear ill-posed Boussinesq dynamical wave equation ⋮ Resonant three-wave interactions in nonlinear hyper-elastic fluid-filled tubes ⋮ Resonant and near-resonant internal wave triads for non-uniform stratifications. Part 2. Vertically bounded domain with mild-slope bathymetry ⋮ New lump, lump-kink, breather waves and other interaction solutions to the (3+1)-dimensional soliton equation ⋮ Energy transfer in resonant and near-resonant internal wave triads for weakly non-uniform stratifications. Part 1. Unbounded domain

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