$Front-type solutions of fractional Allen–Cahn equation$
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Front-type solutions of fractional Allen–Cahn equation

Super-diffusive front dynamics have been analysed via a fractional analogue of the Allen–Cahn equation. One-dimensional kink shape and such characteristics as slope at origin and domain wall dynamics have been computed numerically and satisfactorily approximated by variational techniques for a set o...

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Bibliographic Details
Published in:	Physica. D Vol. 237; no. 24; pp. 3237 - 3251
Main Authors:	Nec, Y., Nepomnyashchy, A.A., Golovin, A.A.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 15-12-2008 Elsevier
Subjects:	Anomalous front Domain wall dynamics Exact sciences and technology Fractional Allen–Cahn equation Physics Fractional Allen–Cahn equation 64.60.-i Domain wall dynamics Anomalous front Time dependence Variational methods Dynamics Domain walls Anomaly Kinks Non linear phenomenon Fractional Allen-Cahn equation
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