Modulation instability of solutions to the complex Ginzburg–Landau equation
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© 2014 The Royal Swedish Academy of Sciences Printed in the UK. The modulation instability of continuous-wave (CW) solutions of the complex Ginzburg-Landau equation (CGLE), with arbitrary intensity-dependent nonlinearity, is studied. The variational approach and standard linear stability analysis are used to investigate the stability of CW and to obtain the criteria for modulation stability in the general form. Analytical stability criteria are established, enabling the construction of charts of stable fixed points of the cubic-quintic CGLE. We show that the evolution of modulationally stable and unstable CWs depends on the CGLE parameters. The analytical predictions for plane wave stability are confirmed by exhaustive numerical simulations.
author list (cited authors)
Aleksić, B. N., Aleksić, N. B., Skarka, V., & Belić, M. R.