We investigate in the framework of the quintic complex Ginzburg-Landau (CGL) equation in one spatial dimension the dynamics of the transition from moving pulse solutions to moving hole solutions, a new class of solutions found for this equation very recently. We find that the transition between these two classes of solutions is weakly hysteretic and that the velocity of moving pulses and moving holes shows a jump across the transition, that is moving particles and moving holes travel at different speeds on both sides of the transition.
|Number of pages||5|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - 1 Nov 2006|
Bibliographical noteFunding Information:
The simulation software DimX developed at the laboratory INLN in France has been partially used for the numerical simulations. O.D. wishes to thank the support of FAI (Universidad de los Andes, 2006), FONDECYT (Project 1050660) and Project Anillo en Ciencia y Tecnología ACT 15. J.C. thanks FONDECYT (Project 1050660) for financial support.
- Ginzburg-Landau equation
- Localized solutions