# American Institute of Mathematical Sciences

August  2014, 34(8): 3025-3034. doi: 10.3934/dcds.2014.34.3025

## One-dimensional weakly nonlinear model equations for Rossby waves

 1 School of Mathematical Sciences, University College Cork, Cork, Ireland 2 School of Mathematical Science, Dublin Institute of Technology, Kevin Street, Dublin 8

Received  July 2013 Revised  September 2013 Published  January 2014

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.
Citation: David Henry, Rossen Ivanov. One-dimensional weakly nonlinear model equations for Rossby waves. Discrete & Continuous Dynamical Systems, 2014, 34 (8) : 3025-3034. doi: 10.3934/dcds.2014.34.3025
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##### References:
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