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Research Article Open access CC BY 2.0

Natural Vibrations of the Shallow Water Equation

R. D. Ortiz, A. M. Marin, J. A. Rodriguez

Journal of Advances in Mathematics and Computer Science · pp. 649–654 · Published 12 Jul 2013

10.9734/BJMCS/2013/4465

Abstract

The purpose of this paper is to construct the asymptotic for natural frequencies of the shallow water problem using the method of Wentzel-Kramers-Brillouin (WKB) and find the secular equation for the eigenvalues.

Shallow water equation Asymptotics Eigenfunctions Eigenvalues Water waves WKB method

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