Perturbation analysis of a parametrically changed sine-Gordon equation
A long Josephson junction with a spatially varying inductance is a physical manifestation of a modified sine-Gordon equation with parametric perturbation. Soliton propagation in such Josephson junctions is discussed. First, for an adiabatic model where the inductance changes smoothly compared with soliton size, transmission or reflection of the soliton is described using a simple energy analysis. Next, the soliton propagation is solved on the basis of a perturbation theory constructed by McLaughlin and Scott. Radiation as well as soliton trajectories are presented numerically. Agreement between such solutions and the results of direct numerical integration by means of a finite-difference method is excellent.
- Research Organization:
- Physics Laboratory I, The Technical University of Denmark, DK-2800, Lyngby, Denmark
- OSTI ID:
- 6489950
- Journal Information:
- Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 36:1; ISSN PRBMD
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
CHARGED-PARTICLE TRANSPORT
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FIELD EQUATIONS
JOSEPHSON JUNCTIONS
JUNCTIONS
PARAMETRIC ANALYSIS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
QUASI PARTICLES
RADIATION TRANSPORT
SINE-GORDON EQUATION
SOLITONS
SUPERCONDUCTING JUNCTIONS
WAVE PROPAGATION