Hostname: page-component-848d4c4894-ndmmz Total loading time: 0 Render date: 2024-05-23T12:08:00.231Z Has data issue: false hasContentIssue false

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ablowitz, M. J. & Segur, H. 1979 J. Fluid Mech. 92, 691715.
Aranha, J. A., Yue, D. K. P. & Mei, C. C. 1982 J. Fluid Mech. 121, 465485.
Landau, L. D. 1947 J. Phys. Moscow 11, 91.
Larraza, A. & Putterman, S. 1984 Phys. Lett. 103A, 1518.
Miles, J. W. 1976 J. Fluid Mech. 75, 419448.
Miles, J. W. 1984 J. Fluid Mech. 148, 451460.
Tadjbakhsh, I. & Keller, J. B. 1960 J. Fluid Mech. 8, 442451.
Whitham, G. B. 1976 J. Fluid Mech. 74, 359368.
Wu, J., Keolian, R. & Rudnick, I. 1984 Phys. Rev. Lett. 52, 14211424.
Yuen, H. C. & Lake, B. M. 1980 Ann. Rev. Fluid Mech. 12, 303334.