Nonlinear resonant absorption of fast magnetoacoustic waves due to coupling into slow continue in the solar atmosphere

Nonlinear resonant absorption of fast magnetoacoustic (FMA) waves in inhomo geneous weakly dissipative, isotropic and anisotropic plasmas in static and steady equilibria is studied. Both isotropic and anisotropic plasmas are c onsidered and for the background equilibrium state 1D planar static and ste ady models are used. The equilibrium configuration consists of three layers , where an inhomogeneous: magnetised plasma slab is surrounded by two homog eneous magnetised semi-infinite plasma regions. The propagating FMA waves a re partly absorbed due to coupling to local nonlinear slow magnetohydrodyna mic (MHD) waves in the inhomogeneous layer, and are partly reflected. The c oefficient of wave energy resonant absorption is derived using two simplify ing assumptions (i) weak nonlinearity and (ii) the thickness: of the inhomo geneous layer is small compared to the wavelength of the waves, i.e. the so -called long-wavelength approximation is used.