The exact behavior of stationary fluxon waves propagating along a Josephson transmission line having arbitrary amounts of uniformly applied bias current and shunt dissipation is explained geometrically in the state plane (voltage vs. phase difference plane). It is shown that there are only two kinds of fluxon wave, one being a solitary wave and the other an infinitely long train of fluxon waves, and that the solitary wave velocity never reaches the velocity of electromagnetic waves on a dissipationless transmission line as far as dissipation is concerned.
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Tateno et al. (1982) studied this question.
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