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

Hidetsugu Sakaguchi

    Research output: Contribution to journal › Article

    22 Citations (Scopus)

    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

    Fingerprint

    Complex Ginzburg-Landau Equation
    Landau-Ginzburg equations
    Quintic
    Vortex
    Viscosity
    Vortex flow
    vortices
    viscosity
    Motion
    pulses
    Electron tunneling
    Swift-Hohenberg Equation
    Term
    Tunnel
    tunnels
    counters
    Bifurcation
    Collision
    collisions
    Invariant

    All Science Journal Classification (ASJC) codes

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

    Cite this

    Motion of pulses and vortices in the cubic-quintic complex Ginzburg-Landau equation without viscosity. / Sakaguchi, Hidetsugu.

    In: Physica D: Nonlinear Phenomena, Vol. 210, No. 1-2, 01.10.2005, p. 138-148.

    Research output: Contribution to journal › Article

    Sakaguchi, H 2005, 'Motion of pulses and vortices in the cubic-quintic complex Ginzburg-Landau equation without viscosity', Physica D: Nonlinear Phenomena, vol. 210, no. 1-2, pp. 138-148. https://doi.org/10.1016/j.physd.2005.07.011
    Sakaguchi H. Motion of pulses and vortices in the cubic-quintic complex Ginzburg-Landau equation without viscosity. Physica D: Nonlinear Phenomena. 2005 Oct 1;210(1-2):138-148. https://doi.org/10.1016/j.physd.2005.07.011
    Sakaguchi, Hidetsugu. / Motion of pulses and vortices in the cubic-quintic complex Ginzburg-Landau equation without viscosity. In: Physica D: Nonlinear Phenomena. 2005 ; Vol. 210, No. 1-2. pp. 138-148.
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