Abstract
Motions of pulses and vortices are numerically studied with the cubic-quintic complex Ginzburg-Landau equation without viscous terms. There exist moving pulses and vortices with any velocities, because the equation is invariant for the Galilei transformation. We study mutual collisions of counter-propagating pulses and vortices, and motions of pulses and vortices in external potentials. Moving pulses and vortices pass through a potential wall like a tunnel effect. If some viscous terms are included, the model equation is equivalent to the quintic complex Swift-Hohenberg equation. We find a supercritical bifurcation from a stationary pulse to a moving pulse.
Original language | English |
---|---|
Pages (from-to) | 138-148 |
Number of pages | 11 |
Journal | Physica D: Nonlinear Phenomena |
Volume | 210 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - Oct 1 2005 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics