Document Zbl 1300.82027

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The fluxion in a curved Josephson junction. (English) Zbl 1300.82027

J. Geom. Symmetry Phys. 34, 13-26 (2014).

Summary: The curved Josephson junction is described. In the framework of the Maxwell equations the equation that describes the influence of the curvature on the fluxion motion was obtained. The method of geometrical reduction of the sine-Gordon model from three to lower-dimensional manifold was applied to the long Josephson junction. It was argued that the geometrical reduction describes the junctions with slowly varying curvatures.

MSC:

82D55	Statistical mechanics of superconductors
35Q53	KdV equations (Korteweg-de Vries equations)
35Q51	Soliton equations
35Q56	Ginzburg-Landau equations
35Q61	Maxwell equations

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