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5 October 2005Dark and bright dissipative optical solitons in erbium-doped single-mode fiber amplifier
Ultrashort dissipative optical solitons, originating in single-mode erbium-doped fiber amplifiers are analytically investigated. This type of optical solitons can be grown due to resculpturing external optical pulses by fiber amplifier in the traveling-wave regime. We consider the well-known classical model related to the most desirable practically fundamental solitons and, in so doing, develop extremely extended analytical approach including the application of the consistency equation. The consideration performed is related to the regimes without and with the gain saturation in a doped fiber and demonstrates that these fiber amplifiers can form and support in this regime various dissipative optical solitons in the form of dark and bright solitons as well as the shock waves. For all the regimes, the amplitude and frequency distributions are estimated.