Prog. Theor. Phys. Vol. 86 No. 1 (1991) pp. 7-12

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Letters

Hole Solutions in the Complex Ginzburg-Landau Equation near a Subcritical Bifurcation

Hidetsugu Sakaguchi

Department of Physics, College of General Education, Kyushu University, Fukuoka 810

(Received March 13, 1991)

Abstract:

Two kinds of hole solutions are found numerically in the complex Ginzburg-Landau equation near a subcritical bifurcation. The two hole solutions send out plane waves with different wavenumbers and frequencies. The hole solutions correspond to heteroclinic trajectories which connect the two plane wave solutions of opposite wavenumbers.

URL : http://ptp.ipap.jp/link?PTP/86/7/
DOI : 10.1143/PTP.86.7

References:

A. N. Zaikin and A. M. Zhabotinsky, Nature 225 (1970), 535.
W. van Saarloos and P. C. Hohenberg, Phys. Rev. Lett. 64 (1990), 749[APS].
K. Nozaki and N. Bekki, J. Phys. Soc. Jpn. 53 (1984), 1581[JPSJ].
H. Sakaguchi, Prog. Theor. Phys. 85 (1991), 417[PTP].
P. Coullet and C. Elphick, Phys. Lett. 121A (1987), 233.
O. Thual and S. Fauve, J. de Phys. 49 (1988), 1829.
e. g., Y. Kuramoto, Chemical Oscillation, Waves and Turbulence (Springer-Verlag, 1984).
H. Sakaguchi, Prog. Theor. Phys. 82 (1989), 7[PTP].

Citing Article(s) :

Progress of Theoretical Physics Vol. 89 No. 6 (1993) pp. 1123-1146 :
Phase Dynamics and Localized Solutions to the Ginzburg-Landau Type Amplitude Equations

Hidetsugu Sakaguchi
Progress of Theoretical Physics Vol. 119 No. 5 (2008) pp. 725-738 :
Influence of Boundary Conditions on Localized Solutions of the Cubic-Quintic Complex Ginzburg-Landau Equation

Orazio Descalzi and Helmut R. Brand