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On the change of amplitude of interacting solitary waves

Published online by Cambridge University Press:  21 April 2006

J. G. B. Byatt-Smith
J. G. B. Byatt-Smith
Affiliation:
Department of Mathematics, University of Edinburgh, Edinburgh EH9 3JZ, UK
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Abstract

In this paper the solitary-wave solutions of the Euler equations of motion are treated as a perturbation of the KdV equaton. We show analytically, that the amplitudes to two solitary waves are altered after interaction. This change in amplitude is calculated, showing that the smaller wave dereases in amplitude and the larger wave increases in amplitude.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 182 , September 1987 , pp. 485 - 497
Copyright
© 1987 Cambridge University Press

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