Skip to main content
Article thumbnail
Location of Repository

A Multiplicity Result for Solitary Gravity-Capillary Waves in Deep Water Via Critical-Point Theory

By B. Buffoni and M.D. Groves


This paper considers the existence of solitary-wave solutions to the classical water-wave problem, which concerns the two-dimensional, irrotational flow of a perfect fluid of unit density subject to the forces of gravity and surface tension. The hydrodynamic problem involves the physical quantities g, oe, h and c, which denote respectively the acceleration due to gravity, the coefficient of surface tension, the asymptotic depth of the water and the velocity of the solitary wave. Introducing dimensionless variables, one finds that the equations of motion depend upon the parameters ff = gh=

Year: 1996
OAI identifier: oai:CiteSeerX.psu:
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.