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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/2739

Title: Solitary gravity water waves with an arbitrary distribution of vorticity
Authors: Groves, Mark D.
Wahlen, E.
Issue Date: 2007
Abstract: This paper presents an existence theory for small-amplitude solitary-wave solutions to the classical water-wave problem in the absence of surface tension and with an arbitrary distribution of vorticity. The hydrodynamic problem is formulated as an in nite-dimensional Hamiltonian system in which the horizontal spatial direction is the time-like variable. A centre-manifold reduction technique is employed to reduce the system to a locally equivalent Hamiltonian system with one degree of freedom. The phase portrait of the reduced system contains a homoclinic orbit, and the corresponding solution of the water-wave problem is a solitary wave of elevation.
Description: This is a pre-print.
URI: https://dspace.lboro.ac.uk/2134/2739
Appears in Collections:Pre-prints (Maths)

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