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A note on solitary waves with variable surface tension in water of infinite depth

Published online by Cambridge University Press:  17 February 2009

E. Özuğurlu  and
J.-M. Vanden-Broeck
E. Özuğurlu
Affiliation:
Bahcesehir University, Faculty of Arts and Sciences, Department of Mathematics and Computer Sciences, 34100 Besiktas, Istanbul, Turkey; e-mail: ersin.ozugurlu@bahcesehir.edu.tr.
J.-M. Vanden-Broeck
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, England, UK.
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Abstract

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Two-dimensional gravity-capillary solitary waves propagating at the surface of a fluid of infinite depth are considered. The effects of gravity and of variable surface tension are included in the free-surface boundary condition. The numerical results extend the constant surface tension results of Vanden-Broeck and Dias to situations where the surface tension varies along the free surface.

Keywords

solitary wavesfree-surface potential flowscapillarity (surface tension)gravity waves.
Type
Research Article
Information
The ANZIAM Journal , Volume 48 , Issue 2 , October 2006 , pp. 225 - 235
Copyright
Copyright © Australian Mathematical Society 2006

References

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