Properties and exact solutions of the equations of motion of shallow water in a spinning paraboloid

DOI10.1016/j.jappmathmech.2011.07.013zbMath1272.76055OpenAlexW2051755497MaRDI QIDQ370663

Mohammad Hasan, H. S. Yoon

Publication date: 19 September 2013

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0021892811000888

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05)

Related Items (7)

Semi-analytical solutions of shallow water waves with idealised bottom topographies ⋮ Lie group symmetry analysis and invariant difference schemes of the two-dimensional shallow water equations in Lagrangian coordinates ⋮ Complete group classification of the two-dimensional shallow water equations with constant Coriolis parameter in Lagrangian coordinates ⋮ Group classification of the two-dimensional shallow water equations with the beta-plane approximation of Coriolis parameter in Lagrangian coordinates ⋮ Lie symmetries of two-dimensional shallow water equations with variable bottom topography ⋮ Reduction of balance laws to conservation laws by means of equivalence transformations ⋮ On the ineffectiveness of constant rotation in the primitive equations and their symmetry analysis

Cites Work

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• The effect of rotation on the simpler modes of motion of a liquid in an elliptic paraboloid
• Invariant transformation of the equations of motion of an ideal monatomic gas and new classes of their exact solutions
• Some general theorems concerning the finite motion of a shallow rotating liquid lying on a paraboloid
• Nonlinear boundary value problems in science and engineering

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