Motion of pulses and vortices in the cubic-quintic complex Ginzburg-Landau equation without viscosity

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    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 languageEnglish
    Pages (from-to)138-148
    Number of pages11
    JournalPhysica D: Nonlinear Phenomena
    Volume210
    Issue number1-2
    DOIs
    Publication statusPublished - Oct 1 2005

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Mathematical Physics
    • Condensed Matter Physics
    • Applied Mathematics

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