The dynamics of perturbations around sinks and sources of traveling waves (TW) is studied in the cubic-quintic Ginzburg-Landau equation from an analytical point of view. Perturbations generically propagate in a direction opposite to the TW. Thus, a sink of TW is a source of perturbations and vice versa. For small values of time we predict there is a lower bound for the group velocity. For large values of time we predict the asymptotic value of the group velocity of the wave packet. Both predictions are in good agreement with direct numerical simulations.
|Number of pages||6|
|Journal||International Journal of Bifurcation and Chaos in Applied Sciences and Engineering|
|State||Published - Aug 2007|
Bibliographical noteFunding Information:
O. Descalzi wishes to thank the support of FAI (Project No. ICIV-001-06), FONDECYT (Project No. 1070098) and Project Anillo en Ciencia y Tec-nología ACT15. J. Cisternas thanks FONDECYT (Project No. 1070098) for financial support.
- Cubic-quintic Ginzburg-Landau equation
- Dissipative dark solitons