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

J. Nycander; D. G. Dritschel; G. G. Sutyrin

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 journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	1089-1091
Number of pages	3
Journal	Physics of Fluids A
Volume	5
Issue number	5
Publication status	Published - 1 Dec 1992

Cite this

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title = "The dynamics of long frontal waves in the shallow-water equations",

abstract = "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.",

author = "J. Nycander and Dritschel, \{D. G.\} and Sutyrin, \{G. G.\}",

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T1 - The dynamics of long frontal waves in the shallow-water equations

AU - Nycander, J.

AU - Dritschel, D. G.

AU - Sutyrin, G. G.

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Y1 - 1992/12/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0027790505

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JO - Physics of Fluids A

JF - Physics of Fluids A

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ER -

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

Abstract

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