Kink propagation in a two-dimensional curved Josephson junction

Abstract

We consider the propagation of sine-Gordon kinks in a planar curved strip as a model of nonlinear wave propagation in curved wave guides. The homogeneous Neumann transverse boundary conditions, in the curvilinear coordinates, allow to assume a homogeneous kink solution. Using a simple collective variable approach based on the kink coordinate, we show that curved regions act as potential barriers for the wave and determine the threshold velocity for the kink to cross. The analysis is confirmed by numerical solution of the 2D sine-Gordon equation.

8 pages, 4 figures (2 in color)

References in corpus (5)

• Propagation of Bose-Einstein condensates in a magnetic waveguide
• Long-range interaction and nonlinear localized modes in photonic crystal waveguides
• Curvature-induced symmetry breaking in nonlinear Schrodinger models
• Whispering Vortices
• The window Josephson junction: a coupled linear nonlinear system

Cited by in corpus (7)

• Shape waves in 2D Josephson junctions: exact solutions and time dilation
• MiTMoJCo: Microscopic Tunneling Model for Josephson Contacts
• Stability of bubble-like fluxons in disk-shaped Josephson junctions in the presence of a coaxial dipole current
• The Eccentric Collective BFKL Pomeron
• Radial kinks in a Schwarzschild-like geometry
• Kink movement on a periodic background
• Radial kinks in the boson stars