Abstract
We solve a problem of the Hamiltonian description of Kelvin and Poincaré waves in a layer of uniformly rotating fluid. The transformation to normal canonical variables of the problem is found. The matrix coefficients of nonlinear interactions are obtained for decay instability of Kelvin waves in the presence of a Poincaré wave and for stabilization of this instability due to phase mismatch of the interacting waves caused by cubic nonlinearity of the medium. The growth rate of this instability is calculated, and the steady-state level of excited waves is found.
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Additional information
State Technical University, Nizhny Novgorod, Russia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 42, No. 4, pp. 359–368. February 1999.
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Kurkin, A.A. Using hamiltonian formalism methods in the theory of nonlinear interaction of waves in a rotating fluid. Radiophys Quantum Electron 42, 320–328 (1999). https://doi.org/10.1007/BF02677575
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DOI: https://doi.org/10.1007/BF02677575