Numerical experiments on nonlinear amplifying dispersive media such as single-mode doped light guides (exhibiting both gain saturation and linear losses) have revealed a new effect, namely, the formation of autosolitons, which are solitary waves with all their parameters independent of the initial amplifying pulse and governed only by the medium parameters. In contrast with a soliton in the Kerr dispersive medium (described by the nonlinear Schrödinger equation), the autosoliton is formed in a medium with a positive sign of dispersion as well as in a medium with a negative sign of dispersion. The dependences of the main parameters of the autosoliton on the medium parameters are described.
© 1991 Optical Society of America
Original Manuscript: April 10, 1990
Revised Manuscript: November 6, 1990
Published: August 1, 1991
V. S. Grigoryan and T. S. Muradyan, "Evolution of light pulses into autosolitons in nonlinear amplifying media," J. Opt. Soc. Am. B 8, 1757-1765 (1991)