Nonlinear dynamics in the mixed state of ultraclean high-temperature superconductors

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A new formulation of the (1 + 1)-dimensional coupled nonlinear electrodynamics of high-temperature superconductors in the mixed state is presented. A novel nonlinear wave equation for the specific area A is derived for an ultraclean type-II superconductor. Travelling wave solutions are investigated of the nonlinear system which includes the effects of nonlocal vortex lattice elasticity and inertia. The detection of solitions could provide a method of quantitatively studying the vortex mass. An analogous dynamical system in plasma physics is described; the correspondence between characteristic length and time scales and energies is included. © 1995.

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