Prog. Theor. Phys. Vol. 89 No. 6 (1993) pp. 1123-1146

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Invited Papers

Phase Dynamics and Localized Solutions to the Ginzburg-Landau Type Amplitude Equations

Hidetsugu Sakaguchi

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

(Received January 27, 1993)

Abstract:

We study different types of long wavelength phase modulation and localized modes in the dissipative media described by the Ginzburg-Landau type amplitude equations. We derive nonlinear phase equations for the phase instabilities and investigate their behaviors. When the phase description breaks down, phase slip process occurs and topologically different states come out. In a certain parameter range localized solutions or solitonlike solutions appear as stable solutions to the amplitude equations.

URL : http://ptp.ipap.jp/link?PTP/89/1123/
DOI : 10.1143/PTP.89.1123

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Citing Article(s) :

Progress of Theoretical Physics Vol. 92 No. 3 (1994) pp. 509-519 :
Transitions to Defect Turbulence in an Anisotropic System

Hidetsugu Sakaguchi
Progress of Theoretical Physics Vol. 98 No. 3 (1997) pp. 577-585 :
Standing Wave Patterns for the Complex Swift-Hohenberg Equation

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