1979•Journal of Applied PhysicsRequires access

Breathers and other exact solutions from Josephson’s equation in 2+1 dimensions

George Leibbrandt

Abstract

We derive for Josephson’s equation [∂2/∂x2 +∂2/∂y2−∂2/∂ (ct)2]ψ=j0 sinψ +VGint cosψ, some simple exact solutions, including a breatherlike solution of topological charge zero. We label these solutions fluxon solutions since they carry through the two-dimensional Josephson junction an integral number of magnetic-flux quanta.

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Key concepts: Josephson effect, Fluxon, Breather, Josephson energy, Pi Josephson junction, Physics, Josephson phase, Exact solutions in general relativity