Articles | Volume 5, issue 3
Nonlin. Processes Geophys., 5, 137–144, 1998
https://doi.org/10.5194/npg-5-137-1998
Nonlin. Processes Geophys., 5, 137–144, 1998
https://doi.org/10.5194/npg-5-137-1998

  30 Sep 1998

30 Sep 1998

Wave interactions in a shallow-water model

K. Wiklund 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.