Kraenkel RA, Manna MA, Merle V
Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona 145, 01505-900 Sao Paulo, Brazil.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Jan;61(1):976-9. doi: 10.1103/physreve.61.976.
In this paper we discuss the propagation of nonlinear electromagnetic short waves in ferromagnetic insulators. We show that such propagation is perpendicular to an externally applied field. In the nonlinear regime we determine various possible propagation patterns: an isolated pulse, a modulated sinusoidal wave, and an asymptotic two-peak wave. The mathematical structure underlying the existence of these solutions is that of the integrable sine-Gordon equation.