H. Leblond, ELECTROMAGNETIC-WAVES IN FERRITES - FROM LINEAR ABSORPTION TO THE NONLINEAR SCHRODINGER-EQUATION, Journal of physics. A, mathematical and general, 29(15), 1996, pp. 4623-4639
We examine the effect of damping on the nonlinear modulation of an ele
ctromagnetic plane wave in a ferrite. Depending on the value of the da
mping constant the time evolution of the amplitude of the wave is eith
er a simple exponential decay, or is described either by a nonlinear S
chrodinger (NLS) equation, or by a perturbed NLS equation. We give a n
ew exact solution to this latter equation, and a way to compute approx
imate solutions.