H. Leblond, TRANSITION BETWEEN STIMULATED BACKSCATTERING AND SOLITON EXCHANGE IN FERRITES, Journal of physics. A, mathematical and general, 28(9), 1995, pp. 2661-2681
We study the interaction of three monochromatic polarized electromagne
tic waves in a ferromagnetic dielectric, and show that it is governed
by the three-wave resonant interaction system, a completely integrable
system. We solve the resonance condition and classify the cases where
the interaction occurs; for high frequencies, we characterize the sol
utions completely. Thus we find transition points between the regimes
where stimulated backscattering of one of the waves or soliton exchang
e occurs.