The Evolution of Nonlinear Wave Trains in Stratified Shear Flows

DOI10.1002/sapm1981643247zbMath0481.76030OpenAlexW2604324496MaRDI QIDQ3939441

Antony K. Liu, D. J. Benney

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1002/sapm1981643247

zbMATH Keywords

dispersion relationsnonlinear Schrödinger equationwave packetsBoussinesq fluidhorizontal channelTaylor-Goldstein equationwave train propagation

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Shear flows and turbulence (76F10) Internal waves for incompressible inviscid fluids (76B55) Basic methods in fluid mechanics (76M99)

Related Items

Vertical momentum fluxes induced by weakly nonlinear internal waves on the shelf ⋮ A Note on Inviscid Secondary Instability in Shear Flows ⋮ The Propagation of Finite-Amplitude Waves in a Model Boundary Layer ⋮ Non local Models for Envelope Waves in a Stratified Fluid ⋮ Lagrangian transport by vertically confined internal gravity wavepackets ⋮ Internal rogue waves in stratified flows and the dynamics of wave packets ⋮ The Third-Order Singular-Perturbation Expansion of the Planar Cold-Fluid Magnetron Equations ⋮ Nonlinear Wave Packets in Flows with Critical Layers

Cites Work

• The Evolution in Space and Time of Nonlinear Waves in Parallel Shear Flows