[图书][B] The Frenkel-Kontorova model: concepts, methods, and applications

OM Braun, YS Kivshar - 2004 - Springer
Theoretical physics deals with physical models. The main requirements for a good physical
model are simplicity and universality. Universal models which can be applied to describe a …

Solitons in Josephson junctions

AV Ustinov - Physica D: Nonlinear Phenomena, 1998 - Elsevier
Magnetic flux quanta in Josephson junctions, often called fluxons, in many cases behave as
solitons. A review of recent experiments and modelling of fluxon dynamics in Josephson …

Theory and experiment on electromagnetic-wave-propagation velocities in stacked superconducting tunnel structures

S Sakai, AV Ustinov, H Kohlstedt, A Petraglia… - Physical Review B, 1994 - APS
Characteristic velocities of the electromagnetic waves propagating in vertically stacked
Josephson transmission are theoretically discussed. An equation for solving n velocities of …

Travelling waves in a singularly perturbed sine-Gordon equation

G Derks, A Doelman, SA van Gils, T Visser - Physica D: Nonlinear …, 2003 - Elsevier
We determine the linearised stability of travelling front solutions of a perturbed sine-Gordon
equation. This equation models the long Josephson junction using the RCSJ model for …

Localized modes in PT-symmetric sine-Gordon couplers with phase shift

WA Khan, A Ali, Z Gul, S Ahmad, A Ullah - Chaos, Solitons & Fractals, 2020 - Elsevier
In this article, we address the nonlinear localized modes for waveguide arrays with parity-
time (PT)-symmetry characterized by the balanced gain and loss parameters. To investigate …

Numerical study of fluxon dynamics in a system of two‐stacked Josephson junctions

A Petraglia, AV Ustinov, NF Pedersen… - Journal of applied …, 1995 - pubs.aip.org
The dynamics of magnetic fluxons in a system of two vertically stacked long Josephson
junctions is investigated numerically. The model is based on the approach by S. Sakai, P …

Highly-enhanced propagation of long-range kinks in heterogeneous media

JA González, A Bellorín, LE Guerrero… - arXiv preprint arXiv …, 2024 - arxiv.org
We investigate a field-theoretical model that describes the interaction between kinks and
antikinks and between kinks and other heterogeneous fields and impurities. We show that …

Radiation of linear waves by solitons in a Josephson transmission line with dispersion

VV Kurin, AV Yulin - Physical Review B, 1997 - APS
We report a method of using a distributed Josephson junction to generate and amplify
electromagnetic waves, based on Cherenkov radiation of linear waves by Josephson …

[HTML][HTML] Dynamics of coupled sine–Gordon equations: Inductively stacked long Josephson junctions with heterogeneous drives

WA Khan, A Ali, WH Huang, A Din, P Liu - Results in Physics, 2021 - Elsevier
The article presents the systematic study of the stacked long Josephson junctions in
presence of different magnetic inductances. The coupled sine–Gordon equation along with …

Long range magnetic interaction between Josephson junctions

N Grønbech-Jensen, MR Samuelsen - Physical review letters, 1995 - APS
A new model for magnetic coupling between long Josephson junctions is proposed. The
coupling mechanism is a result of the magnetic fields outside the junctions and is …