Kureš, Miroslav Number theoretical views on resonant Rossby wave triads: graphs with vertices on quartics. (English) Zbl 1440.76013 Nonlinear Phenom. Complex Syst., Minsk 22, No. 3, 285-291 (2019). Summary: The paper provides new insights and new results for resonance triads of Rossby waves which are described as solutions of a Diophantine equation: we have derived a new description using undirected graphs and we have proven their most essential properties as well as a suitably complementary description by fourth degree curves – bicircular quartics. MSC: 76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction 11Z05 Miscellaneous applications of number theory 11D25 Cubic and quartic Diophantine equations Keywords:Rossby wave; Charney-Hasegawa-Mima equation; resonant triad; Diophantine equation; undirected graph; bicircular quartic PDFBibTeX XMLCite \textit{M. Kureš}, Nonlinear Phenom. Complex Syst., Minsk 22, No. 3, 285--291 (2019; Zbl 1440.76013)