VORTEX SOLUTIONS OF THE HIGH-κ HIGH-FIELD GINZBURG–LANDAU MODEL WITH AN AP…

Abstract In this paper, we study the single-vortex solutions of a two-dimensional high-κ high-field Ginzburg–Landau model of superconductivity with a constant applied current. Under a nondegeneracy condition and for appropriate ranges of the applied magnetic field and applied current, we construct some special solutions which, up to a constant shift of phase in time, are the stationary solu…