One-dimensional weakly nonlinear model equations for Rossby waves

David Henry; Rossen Ivanov

doi:10.3934/dcds.2014.34.3025

One-dimensional weakly nonlinear model equations for Rossby waves

David Henry, Rossen Ivanov

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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.

Original language	English
Pages (from-to)	3025-3034
Number of pages	10
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	34
Issue number	8
DOIs	https://doi.org/10.3934/dcds.2014.34.3025
Publication status	Published - Aug 2014

Keywords

BBM equation
Camassa-holm equation
Degasperis-Procesi equation
Kdv equation
Long waves
Nonlinear waves
Rossby waves
Solitons

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10.3934/dcds.2014.34.3025

https://arrow.tudublin.ie/scschmatart/143Licence: CC BY-NC-SA

Cite this

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keywords = "BBM equation, Camassa-holm equation, Degasperis-Procesi equation, Kdv equation, Long waves, Nonlinear waves, Rossby waves, Solitons",

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AB - 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.

KW - BBM equation

KW - Camassa-holm equation

KW - Degasperis-Procesi equation

KW - Kdv equation

KW - Long waves

KW - Nonlinear waves

KW - Rossby waves

KW - Solitons

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JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

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ER -

One-dimensional weakly nonlinear model equations for Rossby waves

Abstract

Keywords

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