Nonlinear magnetohydrodynamic waves in metals under strong magnetism of conduction electrons

At low temperature the aplitude of the quantum oscillating part of magnetic susceptibility may reach values of order unity. When susceptibility is clo se to 1/4 pi the linear terms in the Maxwell's equations may be of the same order as nonlinear terms. As a result, the wave process becomes essentiall y nonlinear. In this case nonlinear small-amplitude electromagnetic waves c an propagate in a conductor. We End nonlinear solutions of the Maxwell's eq uations and determine the spectrum of nonlinear waves. The process of the f ormation of inhomogeneous stationary state with diamagnetic domains is anal ysed. (C) 2000 Published by Elsevier Science B.V. All rights reserved.