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

@article{5715a427cc3844439d0277b4b2e56d64,

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.}",

year = "1992",

month = dec,

day = "1",

language = "English",

volume = "5",

pages = "1089--1091",

journal = "Physics of Fluids A",

issn = "0899-8213",

publisher = "American Institute of Physics",

number = "5",

}

TY - JOUR

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

AU - Nycander, J.

AU - Dritschel, D. G.

AU - Sutyrin, G. G.

PY - 1992/12/1

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 - http://www.scopus.com/inward/record.url?scp=0027790505&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0027790505

SN - 0899-8213

VL - 5

SP - 1089

EP - 1091

JO - Physics of Fluids A

JF - Physics of Fluids A

IS - 5

ER -

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

Abstract

Other files and links

Fingerprint

Cite this