The dynamics of long frontal waves in the shallow-water equations

J. Nycander*, D. G. Dritschel, G. G. Sutyrin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


A simple equation is derived for the nonlinear evolution of a front (a potential-vorticity discontinuity) in the rotating shallow-water equations, assuming weak along-front variations relative to the internal radius of deformation. This equation can be transformed into the modified Korteweg-de Vries equation, which is integrable and possesses exact, time-dependent solutions.

Original languageEnglish
Pages (from-to)1089-1091
Number of pages3
JournalPhysics of Fluids A
Issue number5
Publication statusPublished - 1 Dec 1992


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