Large-amplitude traveling electromagnetic waves in collisionless magnetoplasmas

A class of exact large-amplitude traveling-wave solutions to the nonlinear Vlasov-Maxwell equations describing a one-dimensional collisionless magnetized plasma is obtained. These waves are complementary to the electrostatic Bernstein-Greene-Kruskal modes and can be classified as nonlinear {ital fast} electromagnetic waves and ({ital slow}) electromagnetic whistler waves. The wave characteristics are discussed for the case of a trapped-particle distribution function.