抄録
The velocity space diffusion equation which describes distortion of the velocity distribution function due to resonant wave-wave scattering of electromagnetic and electrostatic waves in a homogeneous magnetized plasma is derived from the Vlasov-Maxwell equations by perturbation theory. The velocity space diffusion coefficient and the nonlinear wave-wave coupling coefficient which are expressed by three-order tensors in the rotating and Cartesian coordinates are transformed into simple and convenient forms in the Cartesian coordinates. By electrostatic approximation the kinetic equations can be also applicable to the case where the three waves are electrostatic altogether or partially electrostatic. The conservation laws for total energy and momentum densities of waves and particles are verified.
