ON THE NONLOCAL JOSEPHSON ELECTRODYNAMICS

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