17 February 2010 Dynamics of ultrashort pulse solutions of the complex Ginzburg-Landau equation
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Abstract
We investigate numerically the dynamics of pulsating, erupting and creeping soliton solutions of a generalized complex Ginzburg-Landau equation (CGLE), including the third-order dispersion (TOD), intrapulse Raman scattering (IRS) and self-steepening (SST) effects. We show that these higher-order effects (HOEs) can have a dramatic impact on the dynamics of the above mentioned CGLE solitons. For small values of the HOEs, the periodic behavior of some of these pulses is eliminated and they are transformed into fixed-shape solitons. However, a rather different behaviour is observed by increasing the magnitude of the HOEs. Some particular interesting cases are discussed concerning the combined action of the three HOEs.
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Sofia C. V. Latas, Mário F. S. Ferreira, Margarida V. Facão, "Dynamics of ultrashort pulse solutions of the complex Ginzburg-Landau equation", Proc. SPIE 7582, Nonlinear Frequency Generation and Conversion: Materials, Devices, and Applications IX, 758217 (17 February 2010); doi: 10.1117/12.841634; https://doi.org/10.1117/12.841634
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