Prog. Theor. Phys. Vol. 73 No. 6 (1985) pp. 1377-1389

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Euclidean Invariant Formulation of Phase Dynamics. I

— Non-Propagating Periodic Pattern —

Takao Ohta

Department of Physics, Kyushu University 33, Fukuoka 812

(Received February 25, 1985)

Abstract:

The Euclidean invariant equation of motion is derived for a deformed periodic pattern exhibited as a solution of a general nonlinear evolution equation. The formalism is not restricted to the vicinity of the instability threshold, above which the spatially uniform state becomes unstable and a non-propagating periodic structure is continuously formed. The ratio of the basic period to the characteristic length of the deformation is the only smallness parameter in the theory. Thus as far as the modulation is sufficiently smooth, one can develop a systematic way of constructing the non-linear phase dynamics.

URL : http://ptp.ipap.jp/link?PTP/73/1377/
DOI : 10.1143/PTP.73.1377

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Citing Article(s) :

Progress of Theoretical Physics Vol. 84 No. 6 (1990) pp. 1009-1013 :
The Dynamics near Zigzag Instability

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