Magnetic flux can penetrate a type-II superconductor in the form of Abrikosov vortices (also
called flux lines, flux tubes, or fluxons) each carrying a quantum of magnetic flux phi 0= h/2e …

We consider a strong flux pinning by a network of high-j c planar defects which can result in
high macroscopic critical current densities J c in bulk superconductors. Such a pinning …

A unified approach has been developed to study nonlinear dynamics of a 1D lattice of
particles with long-range power-law interaction. A classical case is treated in the framework …

A review of the main analytical, numerical and experimental results of nonlocal Josephson
electrodynamics in different types of junctions is presented. Several mechanisms of …

The phase difference φ (y) for a vortex at a line Josephson junction in a thin film attenuates
at large distances as a power law, unlike the case of a bulk junction where it approaches …

I consider a Josephson junction crossing the middle of a thin rectangular superconducting
strip of length L and width W subjected to a perpendicular magnetic induction B. I calculate …

The fractional sine-Gordon equation utt− RDαu+ sinu= 0, where RDα is the Riesz space
fractional derivative, 1≤ α≤ 2, is considered as an interpolation between the classical sine …

We predict the Josephson-vortex Cherenkov radiation of an electromagnetic wave. We treat
a long one-dimensional Josephson junction. We consider the wavelength of the radiated …

We study the field dependence of the maximum current I m (H) in narrow edge-type thin-film
Josephson junctions. We calculate I m (H) within nonlocal Josephson electrodynamics …

In this article, a novel approach comprising modified homotopy analysis method with Fourier
transform has been implemented for the approximate solution of fractional sine-Gordon …