Integrable shallow-water equations and undular bores

Authors
El, GA Grimshaw, RHJ Pavlov, MV
Citation
Ga. El et al., Integrable shallow-water equations and undular bores, STUD APPL M, 106(2), 2001, pp. 157-186
Citations number
23
Categorie Soggetti
Mathematics
Journal title
STUDIES IN APPLIED MATHEMATICS
ISSN journal
00222526 → ACNP
Volume
106
Issue
2
Year of publication
2001
Pages
157 - 186
Database
ISI
SICI code
0022-2526(200102)106:2<157:ISEAUB>2.0.ZU;2-V
Abstract
On the basis of the integrable Kaup-Boussinesq version of the shallow-water equations, an analytical theory of undular bores is constructed. A complet e classification for the problem of the decay of an initial discontinuity i s made.