Resonant Transfer of Energy between Nonlinear Waves in Neighboring Pycnoclines

DOI10.1002/sapm198063125zbMath0446.76030OpenAlexW171163314MaRDI QIDQ3891945

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Publication date: 1980

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

Full work available at URL: https://doi.org/10.1002/sapm198063125

zbMATH Keywords

nonlinear waves matched asymptotic expansions neighboring pycnoclines resonant energy transfer

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Internal waves for incompressible inviscid fluids (76B55) Reaction effects in flows (76V05) Approximations and expansions (41A99)

Related Items (14)

Linear Waves and Nonlinear Wave Interactions in a Bounded Three-Layer Fluid System ⋮ ``Leapfrogging solitons in a system of coupled KdV equations ⋮ Nonlinear stability of periodic-wave solutions for systems of dispersive equations ⋮ Oblique Interactions between Internal Solitary Waves ⋮ Asymmetrical solitary waves in coupled nonlinear transmission lines ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Nonlocal models for nonlinear, dispersive waves ⋮ Modulation of pulse train using leapfrogging pulses developed in unbalanced coupled nonlinear transmission lines ⋮ Evolution of solitary waves in a two-pycnocline system ⋮ A model system for strong interaction between internal solitary waves ⋮ Weak and Strong Interactions between Internal Solitary Waves ⋮ Strong Interactions between Solitary Waves Belonging to Different Wave Modes ⋮ Leapfrogging solitary waves in coupled traveling-wave field-effect transistors ⋮ Weakly interacting internal solitary waves in neighbouring pycnoclines

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