A detailed survey of the technique of perturbation theory for nearly integrable systems,
based upon the inverse scattering transform, and a minute account of results obtained by …

The recent growing interest in terahertz (THz) and sub-THz science and technology is due to
its many important applications in physics, astronomy, chemistry, biology and medicine …

The present state of theoretical and numerical investigations of the dynamical
stochastization of solitons, breathers and nonlinear periodic waves is reviewed. General …

In this work, we consider a (1+ 1)-dimensional Riesz space-fractional damped sine-Gordon
equation defined on a bounded spatial interval. Sinusoidal Dirichlet boundary data are …

An array of coupled short junctions (Josephson junction parallel array) is shown to be able
to response to ultra-weak signals when it is worked at the onset of nonlinear …

In this note, we depart from a model describing the transmission of electric currents in
Josephson-junction chains, and provide a fractional generalization using Riesz discrete …

In this work, we use supratransmission and infratransmission in the mathematical modeling
of the propagation of digital signals in weakly damped, discrete Josephson-junction arrays …

Different dynamical problems for solitons (kinks and breathers) of a sine-Gordon equation
perturbed by small Hamiltonian terms describing constant and variable (time-periodic or …

A quantum Hall double layer system at total Landau level filling factor ν= 1, seeded by a
modulated ac-voltage input signal of frequency inside the forbidden band gap, is …

We analyze theoretically the effect of a weak nonlinearity on the propagation of Josephson
plasma waves in layered superconductors. The nonlinearity originates from the Josephson …