Control of Solitons in the regime of event horizons in nonlinear dispersive optical media

We describe the propagation of nonlinear pulses in dispersive optical media on base of our generalized approach [1]. It is known, that intense pulses, such as solitons, can mimic event horizons for smaller optical waves. We prove that such strong pulses can be dramatically influenced in the course of nonlinear interaction with the proper dispersive waves. Moreover, it will be demonstrated, both numerically and more efficiently by a new analytic theory [2], that small optical waves can be used to control such solitons [3], [4]. In particular, the typical pulse degradation caused by Raman-scattering can be completely compensated by these means [4], which is supported by recent experiments [5].