Mode interaction in two-stream systems of hydrodynamic type

The nonlinear dynamics of nonequilibrium two-stream hydrodynamic systems is described within the framework of Hamiltonian formalism. A procedure is proposed for diagonalization of the quadratic part of the Hamiltonian based on diagonalization of the dynamic equations by going over to normal variables with subsequent construction of the Hamiltonian as a motion integral. Matrix mode interaction elements are found.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 72–76, December, 1990.