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. (c) 2006 IMACS. Published by Elsevier B.V. All rights reserved.
capillary-gravity waves solitary waves benjamin equation internal waves long-wave approximation