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Recovering surface profiles of solitary waves on a uniform stream from pressure measurements

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  • In this paper, we derive an explicit formula that permits to recover the free surface wave profile of an irrotational solitary wave with a uniform underlying current from pressure data measured at the flat bed of the fluid. The formula is valid for the governing equations and applies to waves of small and large amplitude.
    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.


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