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Nonlin. Processes Geophys., 5, 137-144, 1998
www.nonlin-processes-geophys.net/5/137/1998/
doi:10.5194/npg-5-137-1998
© Author(s) 1998. This work is licensed
under a Creative Commons License.


Wave interactions in a shallow-water model

K. Wiklund
Department of Plasma Physics, Umeå University, S-90187 Umeå, Sweden

Abstract. By using a Hamiltonian method, non-linear three-wave interaction in a class of systems related to the shallow water model is considered and a general coupling coefficient is presented. In the special case where two inertial waves and one Rossby wave interact resonantly, it is found that even a very small shear of the background velocity can be important in the interaction process. The stability of the system is considered by using a pseudo-energy method. Some implications for the dynamics of atmospheric flows are pointed out.

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Citation: Wiklund, K.: Wave interactions in a shallow-water model, Nonlin. Processes Geophys., 5, 137-144, doi:10.5194/npg-5-137-1998, 1998.   Bibtex   EndNote   Reference Manager    XML
 

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