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Hamiltonian description of barotropic Rossby waves

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Radiophysics and Quantum Electronics Aims and scope

Abstract

A transformation into the normal canonical variables is found in the beta-plane approximation for barotropic Rossby waves of an arbitrary amplitude. This transformation is used to derive a matrix of three-wave interaction and to find an expression for the fourth-order term in the interaction Hamiltonian, which describes the modulation instability of Rossby waves. An increment of this instability has been calculated and estimated numerically.

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Authors and Affiliations

  1. N. V. Lobachevsky State University, Nizhny Novgorod

    A. A. Kurkin & V. V. Petrov

Authors
  1. A. A. Kurkin
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  2. V. V. Petrov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 39, No. 9, pp. 1067–1074, September, 1996.

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Kurkin, A.A., Petrov, V.V. Hamiltonian description of barotropic Rossby waves. Radiophys Quantum Electron 39, 711–716 (1996). https://doi.org/10.1007/BF02120849

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  • DOI: https://doi.org/10.1007/BF02120849

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