Ermakov-Ray-Reid Systems in (2+1)-Dimensional Rotating Shallow Water Theory

DOI10.1111/j.1467-9590.2010.00488.xzbMath1209.37104OpenAlexW2096205451MaRDI QIDQ3056495

Hong-Li An, Colin Rogers

Publication date: 12 November 2010

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2010.00488.x

zbMATH Keywords

integrable systemsdynamical systemHamiltonian dynamicsvortex structuresshallow water systemelliptic bottom topographyLie-group analysis

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Hamilton's equations (70H05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Dynamical systems methods for problems in mechanics (70G60)

Related Items (23)

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