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On the dissipation of interfacial and internal long gravity waves

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Abstract

The Korteweg-deVries equations modified by viscosity for interfacial and internal long gravity waves between two parallel plates are derived in the paper. A method based on the inverse scattering method developed recently by Karpman and Maslov has been used to confirm the well-known inverse fourth power decay of the amplitude of a solitary wave on the one hand and to find the time evolution of its velocity on the other.

Zusammenfassung

Die vorliegende Arbeit befasst sich mit der Ableitung der mit der Viskosität modifizierten Korteweg-deVries Gleichungen, die die lange Trennungsflächen- und interne Schwerewellen zwischen zwei parallelen Platten beschreiben. Es wurde eine Methode angewandt, welche auf der inversen Zerstreuungsmethode beruht und neulich von Karpman und Maslov entwickelt worden ist, um den gut bekannten inversen vierten Potenzverfall einer solitären welle einerseits zu bestätigen und anderseits die zeitliche Evolution ihrer Geschwindigkeit zu finden.

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Authors and Affiliations

  1. Dept. of Mechanical Engineering, University of Belgrade, Belgrade, Yugoslavia

    Vladan D. Djordjević

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  1. Vladan D. Djordjević
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Dedicated to the 75th anniversary of Academician Prof. Dr. T. Andjelić

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Djordjević, V.D. On the dissipation of interfacial and internal long gravity waves. Journal of Applied Mathematics and Physics (ZAMP) 31, 318–331 (1980). https://doi.org/10.1007/BF01590659

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  • DOI: https://doi.org/10.1007/BF01590659

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