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Interaction of internal waves in a continuous thermocline model

Published online by Cambridge University Press:  17 February 2009

N. T. Hung and
S. A. Maslowe
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Abstract

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Weak nonlinear interactions are studied for systems of internal waves when the Brunt-Väisälä frequency is proportional to sech z, where z = 0 is the centre of the thermocline. Explicit results expressed in terms of gamma functions have been obtained for the interaction coefficients appearing in the amplitude evolution equations. The cases considered include resonant triads as well as second and third harmonic resonance. In the non-resonant situation, the Stokes frequency correction due to finite-amplitude effects has been computed and the extension to wave packets is outlined. Finally, the effect of a mean shear on resonant interactions is discussed.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 25 , Issue 1 , July 1983, pp. 94 - 109
Copyright
Copyright © Australian Mathematical Society 1983

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