Nonlinear Phenomena in Complex Systems, 2019, Vol.22, No.3, pp.285

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2019, Vol.22, No.3, pp.285 - 291

Number Theoretical Views on Resonant Rossby Wave Triads: Graphs with Vertices on Quartics
Miroslav Kureš

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.

Key words: Rossby wave, Charney-Hasegawa-Mima equation, resonant triad, Diophantine equation, undirected graph, bicircular quartic

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