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

64 Citations (Scopus)

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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

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

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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.\}",

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volume = "106",

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AU - Grimshaw, R. H.J.

AU - Pavlov, M. V.

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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.

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U2 - 10.1111/1467-9590.00163

DO - 10.1111/1467-9590.00163

M3 - Article

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VL - 106

SP - 157

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JO - Studies in Applied Mathematics

JF - Studies in Applied Mathematics

IS - 2

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Integrable shallow-water equations and undular bores

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