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Published 1977 | public
Book Section - Chapter

Cylindrical solitary waves

Abstract

Equations of motion of the Boussinesq or Korteweg-deVries type are derived for three-dimensional (axisymmetrical), weakly nonlinear, long waves in water of variable depth. Typical numerical solutions are presented for the propagation and focusing of a cylindrical solitary wave over an ocean of constant depth, or over a submerged conical island of constant slope.

Additional Information

© Springer-Verlag 1977. The authors wish to thank Professor M. S. Longuet-Higglns, Professor D. H. Peregrine and Professor Christopher Brennen for useful discussions. This work was sponsored by the National Science Foundation under Grant AEN 72-03586.

Additional details

Created:
August 22, 2023
Modified:
January 14, 2024