Stability of chirped bright and dark soliton-like solutions of the cubic complex Ginzburg-Landau equation with variable coefficients |
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Authors: | Fang Fang |
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Affiliation: | College of Physics and Electronics Engineering, Shanxi University, Taiyuan 030006, China State Key Subject of Optics, Shanxi University, Taiyuan 030006, China |
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Abstract: | We consider an inhomogeneous optical fiber system described by the generalized cubic complex Ginzburg-Landau (CGL) equation with varying dispersion, nonlinearity, gain (loss), nonlinear gain (absorption) and the effect of spectral limitation. Exact chirped bright and dark soliton-like solutions of the CGL equation were found by using a suitable ansatz. Furthermore, we analyze the features of the solitons and consider the problem of stability of these soliton-like solutions under finite initial perturbations. It is shown by extensive numerical simulations that both bright and dark soliton-like solutions are stable in an inhomogeneous fiber system. Finally, the interaction between two chirped bright and dark soliton-like pulses is investigated numerically. |
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Keywords: | Inhomogeneous optical fiber system Chirped soliton-like solution Nonlinear gain |
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