Viscous mhd solutions with no transfer of energy through the spectrum

Exact space periodic solutions to the viscous magnetohydrodynamics equations with arbitrary vector periods p1, p2, p3 are derived. A complete classification of the pj-periodic MHD solutions with pairwise noninteracting Fourier modes is obtained. The solutions have no transfer of energy through the spectrum and are smooth for all values of the time variable t ≥ 0.