The 15 papers describe the visualization of
fluxons and their interaction on the nanoscale and in nanostructured superconductors, the behavior of different types of
fluxons in mesoscopic and layered superconductors, and progress in controlling static
fluxon configurations and the dynamic properties of
fluxons in nanoscale superconductors.
The sine-Gordon equation which arises in the study of differential geometry of surfaces with Gaussian curvature has wide applications in the propagation of
fluxon in Josephson junctions (Perring and Skyrme 1962 Whitham 1999 Sirendaoreji and Jiong 2002 Fu et al.
The Sine-Gordon equation in the semiclassical limit; dynamics of
fluxon condensates.
Similar results have also been obtained by Comte and Marquie [22] in the reaction-diffusion equation modeling the propagation of
fluxons (kink with compact support) in a NLTL where the compactification of kinks originates from the nonlinear diffusion process.
which is used to model many different nonlinear phenomena [15], including the propagation of dislocations in crystals and the behavior of elementary particles and the propagation of
fluxons in Josephson junctions.