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Multiple gravity–capillary wave forms near the minimum phase speed

Published online by Cambridge University Press:  10 April 1999

JØRGEN H. RASMUSSEN  and
MICHAEL STIASSNIE
JØRGEN H. RASMUSSEN
Affiliation:
Department of Hydrodynamics and Water Resources (ISVA), Technical University of Denmark, and International Research Centre for Computational Hydrodynamics (ICCH), Agern Allé 5, DK-2970 Hørsholm, Denmark
MICHAEL STIASSNIE
Affiliation:
Coastal and Marine Engineering Research Institute (CAMERI), Department of Civil Engineering, Technion, Israel Institute of Technology, Haifa 32000, Israel
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Abstract

The existence of solitary waves near the minimum phase speed for waves in the gravity–capillary regime triggered our search for additional wave forms. We show that the governing Schrödinger-type equation also has a rich family of periodic solutions, and a preliminary study of these solutions is the objective of the present note.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 384 , 10 April 1999 , pp. 93 - 106
Copyright
© 1999 Cambridge University Press

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