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Shocks and solitary waves in series connected discrete Josephson transmission lines
1 : Bar-Ilan University
Department of Physics, Bar-Ilan University, Ramat-Gan 52900 -
Israel
We analytically study the running waves propagation in the discrete Josephson transmission lines (JTL), constructed from Josephson junctions (JJ) and capacitors. Due to the competition between the intrinsic dispersion and the nonlinearity, in the dissipationless JTL there exist running waves in the form of supersonic kinks and solitons. The velocities and the profiles of the kinks and the solitons are found. We also study the effect of dissipation in the system and find that in the presence of the resistors, shunting the JJ and/or in series with the ground capacitors, the only possible stationary running waves are the shock waves, whose velocities and the profiles are also found.
