Soliton singularity in the system with nonlinear gain.
Solitons propagating in a system with spectral filtering, being nonlinearly stable, suffer from the growth of linear radiation. This effect can be partially overcome by the use of nonlinear gain. I analyze steady-state soliton propagation in such a system and reveal unexpected the singularity of the soliton amplitude.
Afanasjev
V V
VV