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

Henrik Kalisch

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 74, issue 2, 168-178

Abstract: 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.

Keywords: Capillary-gravity waves; Internal waves; Solitary waves; Long-wave approximation; Benjamin equation (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:74:y:2007:i:2:p:168-178

DOI: 10.1016/j.matcom.2006.10.008

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