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Focusing of unidirectional wave groups on deep water: an approximate nonlinear Schrodinger equation-based model

Abstract:

This paper sets out an approximate analytical model describing the nonlinear evolution of a Gaussian wave group in deep water. The model is derived using the conserved quantities of the cubic nonlinear Schrödinger equation (NLSE). The key parameter for describing the evolution is the amplitude-to-wavenumber bandwidth ratio, a quantity analogous to the Benjamin-Feir index for random sea-states. For smaller values of this parameter, the group is wholly dispersive, whereas for more nonlinear cas...

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Publication status:
Published

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Publisher copy:
10.1098/rspa.2009.0224

Authors


Adcock, TAA More by this author
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Institution:
University of Oxford
Department:
Oxford, MPLS, Engineering Science, Civil Engineering
Journal:
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume:
465
Issue:
2110
Pages:
3083-3102
Publication date:
2009-10-08
DOI:
EISSN:
1471-2946
ISSN:
1364-5021
URN:
uuid:59c58e0c-3b12-4583-8c30-8a9bca15c63f
Source identifiers:
63713
Local pid:
pubs:63713

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