Nonlinear shallow-water oscillations in a parabolic channel: exact solutions and trajectory analyses

DOI10.1017/S0022112096007021zbMath0883.76019OpenAlexW1993879792MaRDI QIDQ4340180

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Publication date: 16 June 1997

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112096007021

zbMATH Keywords

oscillation frequencyrotating Earthrelative vorticitydivergent oscillationfree-surface curvature

Mathematics Subject Classification ID

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

Related Items (3)

Semi-analytical solutions of shallow water waves with idealised bottom topographies ⋮ Analysing the impact of bottom friction on shallow water waves over idealised bottom topographies ⋮ Seismic-generated unsteady motions in shallow basins and channels. I: Smooth analytical solutions

Cites Work

• Computing elliptic integrals by duplication
• Water waves of finite amplitude on a sloping beach
• Penetrative convection in the upper ocean due to surface cooling
• Some exact solutions to the nonlinear shallow-water wave equations
• The effect of rotation on the simpler modes of motion of a liquid in an elliptic paraboloid
• Some general theorems concerning the finite motion of a shallow rotating liquid lying on a paraboloid

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