A number theoretical observation of a resonant interaction of Rossby   waves
  Rossby waves are generally expected to dominate the $\beta$ plane dynamics in geophysics, and here in this paper we give a number theoretical observation of the resonant interaction with a Diophantine equation. The set of resonant frequencies does not have any frequency on the horizontal axis. We also give several clusters of resonant frequencies. 
Nobu Kishimoto and Tsuyoshi Yoneda
math.NT math-ph math.AP math.MP