Vp. Maslov et Ga. Omelyanov, RAPIDLY OSCILLATING ASYMPTOTIC SOLUTION OF MAGNETOHYDRODYNAMIC EQUATIONS IN THE TOKAMAK APPROXIMATION, Theoretical and mathematical physics, 92(2), 1992, pp. 879-895
An asymptotic solution of the magnetohydrodynamic equations for large
Reynolds numbers is constructed in the approximation of a strong longi
tudinal magnetic field. Model equations that generalize the Kadomtsev-
Pogutze equations to the case of toroidal symmetry are derived. The as
ymptotic stability of the constructed solution is demonstrated.