We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Strongly nonlinear steepening of long interfacial waves.
- Authors
Zahibo, N.; Slunyaev, A.; Talipova, T.; Pelinovsky, E.; Kurkin, A.; Polukhina, O.
- Abstract
The transformation of nonlinear long internal waves in a two-layer fluid is studied in the Boussinesq and rigid-lid approximation. Explicit analytic formulation of the evolution equation in terms of the Riemann invariants allows us to obtain analytical results characterizing strongly nonlinear wave steepening, including the spectral evolution. Effects manifesting the action of high nonlinear corrections of the model are highlighted. It is shown, in particular, that the breaking points on the wave profile may shift from the zero-crossing level. The wave sweetening happens in a different way if the density jump is placed near the middle of the water bulk: then the wave deformation is almost symmetrical and two phases appear where the wave breaks.
- Subjects
NONLINEAR waves; RIEMANNIAN geometry; FLUIDS; INTERNAL waves; INVARIANTS (Mathematics)
- Publication
Nonlinear Processes in Geophysics, 2007, Vol 14, Issue 3, p247
- ISSN
1023-5809
- Publication type
Article
- DOI
10.5194/npg-14-247-2007