ON THE NONLOCAL JOSEPHSON ELECTRODYNAMICS

The principal nonlinear nonlocal integro-differential equation of the Josephson electrodynamics a tunneling junction between two various superconductors is derived. The general relation is found determining magnetic field in the superconductors from the phase difference of Cooper pairs. The Lagrangian and Hamiltonian functions are determined. In the asymptotic nonlocal limit there is obtained a solution for kink running at a constant velocity and carrying two quanta of magnetic flux in contrast to the running kink in the local theory.