A VARIATIONAL APPROACH TO THE DERIVATION OF HIGH-ORDER SHALLOW-WATER EQUATIONS

Authors
MATTIOLI F
Citation
F. Mattioli, A VARIATIONAL APPROACH TO THE DERIVATION OF HIGH-ORDER SHALLOW-WATER EQUATIONS, Nuovo cimento della Societa italiana di fisica. C, Geophysics and space physics, 17(2), 1994, pp. 175-189
Citations number
NO
Categorie Soggetti
Geosciences, Interdisciplinary","Astronomy & Astrophysics
Journal title
Nuovo cimento della Societa italiana di fisica. C, Geophysics and space physics → ACNP
ISSN journal
11241896
Volume
17
Issue
2
Year of publication
1994
Pages
175 - 189
Database
ISI
SICI code
1124-1896(1994)17:2<175:AVATTD>2.0.ZU;2-P
Abstract
It is shown that the Airy, Boussinesq, Su and Gardner and extended Bou ssinesq equations for the propagation of shallow-water waves can be ea sily obtained from Luke's variational principle. The technique of deri vation of the equations is examined in detail and used to extend the r ange of application of the highest-order theories to the case of varia ble depth. The approach is relatively straightforward and, moreover, p oints out the hypotheses under which the various equations are derived .