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Whitham method for Benjamin-Ono-Burgers equation and dispersive shocks in internal waves in deep fluid

Y. Matsuno, V. S. Shchesnovich, A. M. Kamchatnov, R. A. Kraenkel

nlin.PSarXiv:nlin/0610039

Abstract

The Whitham modulation equations for the parameters of a periodic solution are derived using the generalized Lagrangian approach for the case of damped Benjamin-Ono equation. The structure of the dispersive shock in internal wave in deep water is considered by this method.

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