Lie symmetry analysis and exact solutions of the quasigeostrophic two-layer problem

DOI10.1063/1.3567175zbMath1315.86001arXiv1010.1542OpenAlexW2037932430MaRDI QIDQ5260956

Roman O. Popovych, Alexander Bihlo

Publication date: 30 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1542

Mathematics Subject Classification ID

Meteorology and atmospheric physics (86A10) Stability and instability of geophysical and astrophysical flows (76E20) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Stratification effects in turbulence (76F45)

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Lie group analysis of a generalized Krichever-Novikov differential-difference equation ⋮ The quasigeostrophic two-layer model: Lax representations and conservation laws ⋮ Compacton solutions and (non)integrability of nonlinear evolutionary PDEs associated with a chain of prestressed granules ⋮ Solutions of quasi-geostrophic turbulence in multi-layered configurations ⋮ Complete point symmetry group of the barotropic vorticity equation on a rotating sphere ⋮ Symmetry preserving parameterization schemes

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