143 citations · 776 across the 17 of their papers we have counts for
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nlin.PS2004★ 45 cited
Analytic model for a frictional shallow-water undular bore
G. A. El, R. H. J. Grimshaw, A. M. Kamchatnov
We use the integrable Kaup-Boussinesq shallow water system, modified by a small viscous term, to model the formation of an undular bore with a steady profile. The description is ma…
nlin.PS2004
Wave breaking and the generation of undular bores in an integrable shallow-water system
G. A. El, R. H. J. Grimshaw, A. M. Kamchatnov
The generation of an undular bore in the vicinity of a wave-breaking point is considered for the integrable Kaup-Boussinesq shallow water system. In the framework of the Whitham mo…