Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics
Abstract
In this study we explore several possibilities for modelling weakly nonlinear Rossby waves in fluid of constant depth, which propagate predominantly in one direction. The model equations obtained include the BBM equation, as well as the integrable KdV and Degasperis-Procesi equations.
DOI
http://doi.org10.3934/dcds.2014.34.3025
Recommended Citation
D. Henry and R.Ivanov, One-dimensional weakly nonlinear model equations for Rossby waves, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Volume 34, Number 8, August 2014 pp. 3025--3034, D.O.I. 10.3934/dcds.2014.34.3025
Funder
SFI
Included in
Fluid Dynamics Commons, Geophysics and Seismology Commons, Mathematics Commons, Non-linear Dynamics Commons, Partial Differential Equations Commons
Publication Details
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, Volume 34, Number 8, August 2014 pp. 3025--3034
D.O.I. 10.3934/dcds.2014.34.3025