An integrable model for undular bores on shallow water
preprintposted on 2006-02-07, 10:38 authored by Gennady El, Roger Grimshaw
On the basis of the integrable Kaup-Boussinesq version of the shallow water equations, an analytical theory of undular bores is constructed. The problem of the decay of an initial discontinuity is considered.
- Mathematical Sciences
NotesThis is a pre-print. The definitive version: EL, G.A. and GRIMSHAW, R.H.J., 2001. Integrable shallow-water equations and undular bores. Studies in Applied Mathematics, 106(2), pp. 157-186