One-dimensional weakly nonlinear model equations for Rossby waves

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Date
2014-08
Authors
Henry, David
Ivanov, Rossen
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Publisher
American Institute of Mathematical Sciences (AIMS)
Published Version
10.3934/dcds.2014.34.3025
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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.
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Keywords
BBM equation , KdV equation , Nonlinear waves , Solitons , Camassa-Holm equation , Long waves , Rossby waves , Degasperis-Procesi equation.
Citation
Henry, D., and Ivanov, R. (2014) 'One-dimensional weakly nonlinear model equations for Rossby waves', Discrete and Continuous Dynamical Systems - Series A (DCDS-A), 34(8), pp. 3025-3034. doi: 10.3934/dcds.2014.34.3025
Link to publisher’s version
https://www.aimsciences.org/article/doi/10.3934/dcds.2014.34.3025
URI
https://hdl.handle.net/10468/11728
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Mathematical Sciences- Journal Articles
Copyright
© 2014 American Institute of Mathematical Sciences. This accepted final draft version is made available under the CC BY-NC-ND Creative Commons License