THE DYNAMICS OF LONG FRONTAL WAVES IN THE SHALLOW-WATER EQUATIONS

Authors
NYCANDER J DRITSCHEL DG SUTYRIN GG
Citation
J. Nycander et al., THE DYNAMICS OF LONG FRONTAL WAVES IN THE SHALLOW-WATER EQUATIONS, Physics of fluids. A, Fluid dynamics, 5(5), 1993, pp. 1089-1091
Citations number
12
Categorie Soggetti
Mechanics,"Phsycs, Fluid & Plasmas
Journal title
Physics of fluids. A, Fluid dynamics → ACNP
ISSN journal
08998213
Volume
5
Issue
5
Year of publication
1993
Pages
1089 - 1091
Database
ISI
SICI code
0899-8213(1993)5:5<1089:TDOLFW>2.0.ZU;2-Z
Abstract
A simple equation is derived for the nonlinear evolution of a front (a potential-vorticity discontinuity) in the rotating shallow-water equa tions, assuming weak along-front variations relative to the internal r adius of deformation. This equation can be transformed into the modifi ed Korteweg-de Vries equation, which is integrable and possesses exact , time-dependent solutions.