The method of lines is used to transform the initial/boundary-value problem associated with
the two-dimensional sine-Gordon equation in two space variables into a second-order initial …

Quantum electrodynamics (QED) is one of the most precisely tested theories in the history of
science, giving accurate predictions to a wide range of experimental observations. Recent …

A three-time level finite-difference scheme based on a fourth order in time and second order
in space approximation has been proposed for the numerical solution of the nonlinear two …

We describe a novel effect related to the controlled birth of a single Josephson vortex. In this
phenomenon, the vortex is created in a Josephson transmission line at a T-shaped junction …

Superconducting Josephson-junctions are excellent experimental systems for the general
study of nonlinear phenomena and nonlinear localised excitations. Specifically, a long …

We study static and dynamical properties of fluxons in a long annular Josephson junction
(JJ) with a current injected at one point and collected back at a close point. Uniformly …

We describe new phenomena arising in long and extended Josephson junctions associated
with the two-dimensional character of these junctions. A vortex in such junctions has …

A technique of inserting magnetic fluxons into annular Josephson junctions is proposed and
demonstrated experimentally. The method is based on local injection of current into one of …

Sine-Gordon kink propagation in a curved planar waveguide is considered. The waveguide
consists of two rectangular regions joined by a bent section of constant curvature …

Examination of an annular system of underdamped Josephson junctions in the presence of
external radiation showed that the ability of the system to lock with some external radiation …