ANZIAM  J.  48 (2006), 225-235

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

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

Abstract

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.

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