Josephson junction arrays with negative group velocity: Propagation of envelope solitary wavesE. Arévalo
Technische Universität Darmstadt, Institut für Theorie elektromagnetischer Felder, TEMF - Schloßgartenstr. 8, D-64289 Darmstadt, Germany, EU
received 29 March 2008; accepted in final form 14 May 2008; published July 2008
published online 12 June 2008
The dynamics of small-amplitude solitons in one-dimensional arrays of short Josephson junctions with negative group velocity is reported. Analytical expression of the solitons are derived. Dynamics of bright and dark solitons is numerically studied. Very high soliton velocities are observed. The effect of the modulation instability on the envelope shape is analyzed and the effect of loss is discussed.
05.45.Yv - Solitons.
74.81.Fa - Josephson junction arrays and wire networks.
05.45.-a - Nonlinear dynamics and chaos.
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