TY - JOUR
T1 - Modulational instability in linearly coupled complex cubic-quintic Ginzburg-Landau equations
AU - Porsezian, K.
AU - Murali, R.
AU - Malomed, Boris A.
AU - Ganapathy, R.
N1 - Funding Information:
This research work has been financed by the Portuguese Science Foundation (FCT-MCTES) through the project Early Metallurgy in the Portuguese Territory (PTDC/HIS-ARQ/110442/2008). S.S.G., E.F. and F.L. acknowledge the FCT grants, SFRH/BD/88002/2012, SFRH/BPD/73245/2010 and SFRH/BD/85329/2012, respectively. Authors are thankful to the Department of Conservation and Restoration (DCR/FCT/UNL) for the use of the micro-EDXRF spectrometer and to Dr. Joaquim Branco and Ana Parreira for electrochemical reaction technical support. The financial support of CENIMAT/I3N through the Strategic Project LA25/2013-2014 (PEst-C/CTM/LA0025/2013-2014) is also acknowledged.
PY - 2009/5/30
Y1 - 2009/5/30
N2 - We investigated the modulational instability (MI) of symmetric and asymmetric continuous-wave (CW) solutions in a model of a laser based on a dual-core nonlinear optical fiber. The model is based on a pair of linearly coupled cubic-quintic (CQ) complex Ginzburg-Landau (CGL) equations, that were recently shown to support several types of symmetric and asymmetric solitary pulses. We produce characteristics of the MI in the form of typical dependences of the instability growth rate (gain) on the perturbation frequency and system's parameters. In particular, the gain strongly depends on the spectral-filtering parameter and the CW amplitude itself. Generic outcomes of the nonlinear development of the MI are investigated by dint of direct simulations of the underlying equations. Three typical outcomes are found: a periodic chain of localized growing peaks; a stable array of stationary pulses (which is a new type of a stationary state in the model), and an apparently turbulent state.
AB - We investigated the modulational instability (MI) of symmetric and asymmetric continuous-wave (CW) solutions in a model of a laser based on a dual-core nonlinear optical fiber. The model is based on a pair of linearly coupled cubic-quintic (CQ) complex Ginzburg-Landau (CGL) equations, that were recently shown to support several types of symmetric and asymmetric solitary pulses. We produce characteristics of the MI in the form of typical dependences of the instability growth rate (gain) on the perturbation frequency and system's parameters. In particular, the gain strongly depends on the spectral-filtering parameter and the CW amplitude itself. Generic outcomes of the nonlinear development of the MI are investigated by dint of direct simulations of the underlying equations. Three typical outcomes are found: a periodic chain of localized growing peaks; a stable array of stationary pulses (which is a new type of a stationary state in the model), and an apparently turbulent state.
UR - http://www.scopus.com/inward/record.url?scp=65149088152&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2007.09.086
DO - 10.1016/j.chaos.2007.09.086
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AN - SCOPUS:65149088152
SN - 0960-0779
VL - 40
SP - 1907
EP - 1913
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 4
ER -