# American Institute of Mathematical Sciences

July  2012, 11(4): 1537-1547. doi: 10.3934/cpaa.2012.11.1537

## On particle trajectories in linear deep-water waves

 1 Institute for Applied Mathematics, Leibniz University Hanover, Welfengarten 1, 30167 Hanover

Received  December 2010 Revised  June 2011 Published  January 2012

We determine the phase portrait of a Hamiltonian system of equations describing the motion of the particles in linear deep-water waves. The particles experience in each period a forward drift which decreases with greater depth.
Citation: Anca-Voichita Matioc. On particle trajectories in linear deep-water waves. Communications on Pure & Applied Analysis, 2012, 11 (4) : 1537-1547. doi: 10.3934/cpaa.2012.11.1537
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