Barotropic modon propagation over slowly varying topography

DOI10.1080/03091928608208798zbMath0597.76019OpenAlexW2076895559WikidataQ114640413 ScholiaQ114640413MaRDI QIDQ3731226

Gordon E. Swaters

Publication date: 1986

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03091928608208798

zbMATH Keywords

perturbation theorysolitary wavessolitonsslowly varying topographyAnalytical perturbation solutionsevolution of the slowly varying modon radiusmeridional gradientsmodon propagationrigid-lid shallow-water equationssmall-amplitude topography

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Solitary waves for incompressible inviscid fluids (76B25) Meteorology and atmospheric physics (86A10) Basic methods in fluid mechanics (76M99)

Related Items

A point vortex dipole model of an isolated modon ⋮ Dynamics of localized vortices on the beta plane ⋮ Propagation of barotropic modons over topography ⋮ The Theory of the Beta-Plane Baroclinic Topographic Modons ⋮ Dynamical characteristics of decaying Lamb couples ⋮ Envelope solitary Rossby waves and modulational instabilities of uniform Rossby wave trains in two space dimensions

Cites Work

• Unnamed Item
• Slowly varying solitary waves. I. Korteweg-de Vries equation
• Slowly varying solitary waves. II. Nonlinear Schrödinger equation
• Slowly varying solitary waves in deep fluids
• Perturbations of Solitons and Solitary Waves
• On an asymptotic solution of the Korteweg–de Vries equation with slowly varying coefficients
• A perturbation method for nonlinear dispersive wave problems
• Slow oscillations in an ocean of varying depth Part 1. Abrupt topography
• The solitary wave in water of variable depth
• The solitary wave in water of variable depth. Part 2
• Applications of Slowly Varying Nonlinear Dispersive Wave Theories