The shocks in Josephson transmission line revisited
arxiv(2023)
摘要
We continue our previous studies of the shocks in the lossy Josephson
transmission line (JTL). The paper consists of two parts. In the first part we
analyse the scattering of the "sound' (small amplitude small wave vector
harmonic wave) on the shock wave and calculate the reflection and the
transmission coefficients. In the second part we show that the kinks, which we
previously studied only in the lossless JTL, exist also in the lossy JTL and
study the similarities and the dissimilarities between the shocks and the kinks
there. We find that the nonlinear equation describing the weak kinks and the
weak shocks can be integrated (in particular cases) in terms of elementary
functions. We also show that the profile of the shock in the lossy JTL
demonstrates soliton-like features if the losses are weak.
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关键词
discrete lattices,Josephson transmission line,kinks,shock waves,solitons
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