Abstract
The analytical solution to the Boussinesq equations for solitary waves travelling in uniform water channels with sloping side walls is presented. Quantitative effects of channel cross-sectional geometry and channel side-wall slope at the waterline on the wave profile and wave speed, as well as the criteria for positive solitary waves to exist, are discussed. The new Boussinesq solution is also compared with the existing Korteweg-de Vries solution obtained by Peregrine. It is found that the two solutions are consistent for small amplitude waves while, for relatively large waves, the Boussinesq solution gives different predictions for wave speed and for the criteria for solitary waves to exist.
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Schedule a callMore From: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
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