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Theory of non-propagating surface-wave solitons

Published online by Cambridge University Press:  20 April 2006

A. Larraza
Affiliation:
Physics Department, University of California, Los Angeles, California 90024
S. Putterman
Affiliation:
Physics Department, University of California, Los Angeles, California 90024

Abstract

An incompressible inviscid fluid contained in a channel in a gravitational field admits soliton-like disturbances where the velocity potential depends upon all three coordinates as well as time, yet its centre of mass can be at rest. These solitons were recently discovered by Wu, Keolian & Rudnick. The calculations are carried out with the multiple-scales approach. Consequences of mass conservation and radiation are discussed.

Type
Research Article
Copyright
© 1984 Cambridge University Press

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