# American Institute of Mathematical Sciences

October  2011, 4(5): 1095-1105. doi: 10.3934/dcdss.2011.4.1095

## The dynamics of the kink in curved large area Josephson junction

 1 Institute of Physics UP, Podchorążych 2, 30-084 Cracow, Poland

Received  August 2009 Revised  December 2009 Published  December 2010

A formalism that allows description of the kink motion in an arbitrarily curved large area Josephson junction is proposed. A general formula for the lagrangian density that describes the curved Josephson junction, in small curvature regime, is obtained. Examples of propagation of the kink along the curved Josephson junction are considered.
Citation: Tomasz Dobrowolski. The dynamics of the kink in curved large area Josephson junction. Discrete & Continuous Dynamical Systems - S, 2011, 4 (5) : 1095-1105. doi: 10.3934/dcdss.2011.4.1095
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