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We analytically study shock wave in the Josephson transmission line (JTL) inthe presence of ohmic dissipation. When ohmic resistors shunt the Josephsonjunctions (JJ) or are introduced in series with the ground capacitors the shockis broadened. When ohmic resistors are in series with the JJ, the shock remainssharp, same as it was in the absence of dissipation. In all the casesconsidered, ohmic resistors don't influence the shock propagation velocity. Westudy an alternative to the shock wave - an expansion fan - in the framework ofthe simple wave approximation for the dissipationless JTL and formulate thegeneralization of the approximation for the JTL with ohmic dissipation.

Shock wave in series connected Josephson transmission line: Theoretical foundations and effects of resistive elements