Counting of discrete Rossby/drift wave resonant triads
Miguel D. Bustamante, Umar Hayat, Peter Lynch, Brenda Quinn

TL;DR
This paper clarifies the correct counting of resonant triads for Rossby and drift waves, correcting a major over-counting error in previous literature based on the Charney-Hasegawa-Mima equation.
Contribution
It identifies and corrects a significant over-counting error in the enumeration of resonant wave triads for Rossby and drift waves.
Findings
Corrected the count of resonant triads for Rossby/drift waves
Highlighted the error in previous over-counting
Provided clarification for future research accuracy
Abstract
The purpose of this note is to remove the confusion about counting of resonant wave triads for Rossby and drift waves in the context of the Charney-Hasegawa-Mima equation. In particular, we aim to point out a major error of over-counting of triads in the paper "Discrete exact and quasi-resonances of Rossby/drift waves on beta-plane with periodic boundary conditions", by Kartashov and Kartashova, arXiv:1307.8272v1 [physics.flu-dyn] (2013).
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Taxonomy
TopicsUnderwater Acoustics Research
