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Nonlinear edge waves and shallow-water theory

  • A. A. Minzoni (a1)

Nonlinear effects are considered for shallow-water edge waves on beaches with a general depth distribution. The case of uniform depth away from the shoreline is considered in detail. It is shown that the results obtained are in qualitative agreement with those obtained by Whitham (1976) using the full nonlinear theory for a beach of constant slope.

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Titchmarsh, E. C.1962 Eigenfunction Expansions Associated with Second Order Differential Equations, part 1, 2nd edn. Oxford University Press.
Ursell, F.1952 Proc. Roy. Soc A 214, 7997.
Whitham, G. B.1976 J. Fluid Mech. 74, 353
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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