10 pi-kink and conception of Cherenkov gluing of the Josephson vortices

Within the Aubry-Volkov approach, when relationship of Josephson current de nsity with the phase difference of Cooper pair wave functions has saw-like type, the description of structure and discrete spectrum of velocities of t ravelling 10 pi-kink is given. The dependence of discrete spectrum of veloc ity eigenvalues on a set of two numbers defining the number of Swihart wave lengths trapped by vortex is obtained. It is shown how five separate 2 pi-k inks are glued by trapped Swihart waves into unified 10 pi-kink. (C) 2000 P ublished by Elsevier Science B.V. All rights reserved.