Vortex crystals and non-existence of non-axisymmetric solitary waves in the Flierl-Petviashvili equation

DOI10.1016/S0960-0779(98)00045-9zbMath0947.76010OpenAlexW4248759609MaRDI QIDQ1809534

Benkui Tan, John P. Boyd

Publication date: 12 November 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00045-9

zbMATH Keywords

Rossby wavesKorteweg-de Vries equationFlierl-Petviashivili equationvortex latticeinstability of solitonsnon-existence of non-axisymmetric solitary wavesquasi-one-dimensional solitonsstable spatially periodictwo-dimensional large-scale geophysical flow

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

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