Hénon–heiles Hamiltonian for Coupled Upper–hybrid and Magnetoacoustic Waves in Magnetized Plasmas
نویسنده
چکیده
We show that the coupled mode equations for the stationary propagation of upper–hybrid and magnetoacoustic waves in magnetized electron–ion plasmas with negative group dispersion can be exactly derived from the generalized Hénon–Heiles Hamiltonian. The parameter regimes for the integrable cases of the coupled mode equations have been explicitly obtained. For positive group dispersion of the upper–hybrid waves, the relevant governing equations lead to a novel Hamiltonian where the kinetic energy is not positive definite.
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