Nonlinear localized waves in layered superconductors: Jacobi elliptic functions approach

The nonlinear anisotropic Josephson plasma, which is formed in layered superconductors, supports propagation of the Terahertz waves and exhibits many interesting phenomena. In particular, the Josephson plasma waves localized on a slab of layered superconductor are proved to have the anomalous dispersion in a wide range of parameters. In the present work, we study the nonlinear localized waves and show that the electromagnetic field in the layered superconductor can be described in terms of the Jacobi elliptic functions. We derive the dispersion relation in the analytic form, reveal the non-symmetric localized waves, and discuss the possibility to observe the stop-light phenomenon in layered superconductors.