Abstract
The collective coordinate analysis of soliton dynamics developed by McLaughlin and Scott for perturbed sine-Gordon equations is applied here to two inductively coupled Long Josephson Junctions (LJJ’s). It is found that the motion of fluxon (antifluxon) pairs -one fluxon on each junction- is described very well by the ode’s of the collective coordinates, representing the “center of mass”position and velocity of each fluxon. The formation of bifluxon states, which either oscillate or travel in phase-locked fluxon pairs along the LJJ’s is accurately predicted and verified by the numerical solution of the pde’s.
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Dedicated to Al Scott, on the occasion of his 60th birthday
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Bountis, T., Skiniotis, T. (1993). Inductively Coupled Long Josephson Junctions: Collective Coordinate Analysis and I–V Characteristics. In: Christiansen, P.L., Eilbeck, J.C., Parmentier, R.D. (eds) Future Directions of Nonlinear Dynamics in Physical and Biological Systems. NATO ASI Series, vol 312. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1609-9_47
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DOI: https://doi.org/10.1007/978-1-4899-1609-9_47
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