The correlation analysis of the interaction of nonlinear waves on the surface of a magnetic fluid in the regime of developed magneto-hydrodynamic wave turbulence is carried out. It is shown that the horizontal magnetic field leads to compression of the resonant interaction curve. From the physical point of view, this process corresponds to anisotropic transfer of magnetic energy into the energy of capillary waves traveling perpendicular to the external field direction.
Gashkov et al. (2025) studied this question.