Integrable shallow-water equations and undular bores

G. A. El; R. H.J. Grimshaw; M. V. Pavlov

doi:10.1111/1467-9590.00163

Integrable shallow-water equations and undular bores

G. A. El, R. H.J. Grimshaw^*, M. V. Pavlov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

60 Citations (Scopus)

12 Downloads (Pure)

Abstract

On the basis of the integrable Kaup-Boussinesq version of the shallow-water equations, an analytical theory of undular bores is constructed. A complete classification for the problem of the decay of an initial discontinuity is made.

Original language	English
Pages (from-to)	157-186
Number of pages	30
Journal	Studies in Applied Mathematics
Volume	106
Issue number	2
DOIs	https://doi.org/10.1111/1467-9590.00163
Publication status	Published - Feb 2001
Externally published	Yes

Access to Document

10.1111/1467-9590.00163

Integrable shallow-water equations and undular boresSubmitted manuscript, 149 KBLicence: CC BY-NC-ND

Cite this

@article{eb6a00d2941c4ea7aa091f4cab3f8eef,

title = "Integrable shallow-water equations and undular bores",

abstract = "On the basis of the integrable Kaup-Boussinesq version of the shallow-water equations, an analytical theory of undular bores is constructed. A complete classification for the problem of the decay of an initial discontinuity is made.",

author = "El, {G. A.} and Grimshaw, {R. H.J.} and Pavlov, {M. V.}",

year = "2001",

month = feb,

doi = "10.1111/1467-9590.00163",

language = "English",

volume = "106",

pages = "157--186",

journal = "Studies in Applied Mathematics",

issn = "0022-2526",

publisher = "Blackwell Publishing",

number = "2",

}

TY - JOUR

T1 - Integrable shallow-water equations and undular bores

AU - El, G. A.

AU - Grimshaw, R. H.J.

AU - Pavlov, M. V.

PY - 2001/2

Y1 - 2001/2

N2 - On the basis of the integrable Kaup-Boussinesq version of the shallow-water equations, an analytical theory of undular bores is constructed. A complete classification for the problem of the decay of an initial discontinuity is made.

AB - On the basis of the integrable Kaup-Boussinesq version of the shallow-water equations, an analytical theory of undular bores is constructed. A complete classification for the problem of the decay of an initial discontinuity is made.

UR - http://www.scopus.com/inward/record.url?scp=0012269462&partnerID=8YFLogxK

U2 - 10.1111/1467-9590.00163

DO - 10.1111/1467-9590.00163

M3 - Article

AN - SCOPUS:0012269462

SN - 0022-2526

VL - 106

SP - 157

EP - 186

JO - Studies in Applied Mathematics

JF - Studies in Applied Mathematics

IS - 2

ER -

Integrable shallow-water equations and undular bores

Abstract

Access to Document

Other files and links

Fingerprint

Cite this