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31 July 1998 Soliton propagation and stability in a system with nonlinear amplifiers
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Abstract
Soliton propagation in a system with linear and nonlinear amplifiers and spectral filtering is explored. We discuss different types of solutions of the cubic and the quintic complex Ginzburg-Landau equation (CGLE), namely solutions with fixed amplitude and solutions with arbitrary amplitude. The conditions to achieve a stable soliton propagation are analyzed within the domain of validity of the soliton perturbation theory. We obtain also a boundary for the region in the parameter space at which stable pulselike solutions of the quintic CGLE exist. In addition, an expression for the minimum value of the peak amplitude of these solutions is found, which depends uniquely on the quotient between the linear excess gain and the quintic saturating gain term.
© (1998) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Mario F. S. Ferreira and Margarida M. V. Facao "Soliton propagation and stability in a system with nonlinear amplifiers", Proc. SPIE 3384, Photonic Processing Technology and Applications II, (31 July 1998); https://doi.org/10.1117/12.317652
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