# American Institute of Mathematical Sciences

August  2014, 34(8): 3035-3043. doi: 10.3934/dcds.2014.34.3035

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

 1 Department of Mathematics, King's College London, Strand, London WC2R 2LS, United Kingdom

Received  April 2013 Revised  September 2013 Published  January 2014

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.
Citation: Hung-Chu Hsu. Recovering surface profiles of solitary waves on a uniform stream from pressure measurements. Discrete & Continuous Dynamical Systems, 2014, 34 (8) : 3035-3043. doi: 10.3934/dcds.2014.34.3035
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