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

By B. Buffoni and M.D. Groves

Abstract

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:10.1.1.31.201
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