Radiophysics and Quantum Electronics

, Volume 42, Issue 4, pp 320–328 | Cite as

Using hamiltonian formalism methods in the theory of nonlinear interaction of waves in a rotating fluid

  • A. A. Kurkin
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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.

Keywords

Nonlinear Interaction Canonical Variable Phase Mismatch Quadratic Part Dynamic Boundary Condition 
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Copyright information

© Kluwer Academic/Plenum Publishers 1999

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  • A. A. Kurkin

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