Derivation and comparison of model equations for interfacial capillary-gravity waves in deep water

A matched asymptotic expansion is used to give a formal derivation of a number of systems of model equations for the evolution of interfacial waves subject to capillarity. For one of these systems, approximate solitary waves are found numerically, and the solutions are compared to the Benjamin equation which arises in the special case of one-way propagation.

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Year of publication:	2007
Authors:	Kalisch, Henrik
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 74.2007, 2, p. 168-178
Publisher:	Elsevier
Subject:	Capillary-gravity waves \| Internal waves \| Solitary waves \| Long-wave approximation \| Benjamin equation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010870123