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Article
Hamiltonian description of barotropic Rossby waves
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.....
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Article
Using hamiltonian formalism methods in the theory of nonlinear interaction of waves in a rotating fluid
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 coeff...
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Article
Self-Similar Acoustic Waves in the Media with a Power-Law Hysteresis Nonlinearity
We present the results of the studies of propagation of longitudinal acoustic waves in the media with a power-law hysteresis nonlinearity. Exact analytical solutions for the self-similar periodic waves propaga...