HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 85 (1991) > Number 3
| Next Article >

Prog. Theor. Phys. Vol. 85 No. 3 (1991) pp. 417-421

[ Full Text PDF : FREE ACCESS (252K) ]

Letters

Instability of the Hole Solution in the Complex Ginzburg-Landau Equation

Hidetsugu Sakaguchi

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

(Received October 19, 1990)

Abstract:

The complex Ginzburg-Landau equation has a hole solution as a localized structure. The hole solution shows two types of instability and bifurcates to more complicated solutions. The existence of those attractors makes the behaviors of the system complicated.


URL : http://ptp.ipap.jp/link?PTP/85/417/
DOI : 10.1143/PTP.85.417

[ Full Text PDF : FREE ACCESS (252K) ] Citation:

References:

  1. Y. Kuramoto and T. Tsuzuki, Prog. Theor. Phys. 52 (1974), 1399[PTP].
  2. J. T. Stuart and R. C. DiPrima, Proc. R. Soc. London A362 (1978), 27.
  3. H. Sakaguchi, Prog. Theor. Phys. 83 (1990), 169[PTP].
  4. H. Sakaguchi, Prog. Theor. Phys. 84 (1990), 792[PTP].
  5. M. A. Dominguez-Lerma, D. S. Cannel and G. Ahlers, Phys. Rev. A34 (1986), 4956[APS].
  6. K. Nozaki and N. Bekki, J. Phys. Soc. Jpn. 53 (1984), 1581[JPSJ].
  7. S. Fauve and O. Thual, Phys. Rev. Lett. 64 (1990), 282[APS].
  8. N. Bekki and K. Nozaki, Phys. Lett. 110A (1985), 133.

Citing Article(s) :

  1. Journal of the Physical Society of Japan 72 (2003) pp. 1800-1809 :
    Dynamics of Pattern Formation and Modulational Instabilities in the Quintic Complex Ginzburg–Landau Equation*
    A. Kenfack Jiotsa and T. C. Kofané
  2. Journal of the Physical Society of Japan 79 (2010) 124003 (7 pages) :
    A “Localized Pulse–Moving Front” Pair in a System of Coupled Complex Ginzburg–Landau Equations
    Tat Leung Yee and Kwok Wing Chow
  3. Journal of the Physical Society of Japan 80 (2011) 064001 (7 pages) :
    Exact Solutions for Domain Walls in Coupled Complex Ginzburg–Landau Equations
    Tat Leung Yee, Alan Cheng Hou Tsang, Boris Malomed, and Kwok Wing Chow
  4. Progress of Theoretical Physics Vol. 86 No. 1 (1991) pp. 7-12 :
    Hole Solutions in the Complex Ginzburg-Landau Equation near a Subcritical Bifurcation
    Hidetsugu Sakaguchi
  5. Progress of Theoretical Physics Vol. 87 No. 4 (1992) pp. 1055-1058 :
    Localized Target Patterns in Oscillatory Media
    Tsuyoshi Mizuguchi
  6. 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

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.