Numerical study of fluxon solutions of sine-Gordon equation under the influence of the boundary conditions

TL;DR

This paper numerically investigates fluxon solutions of the sine-Gordon equation under various boundary conditions, analyzing their relationship with constant solutions within the context of long Josephson junctions.

Contribution

It provides a detailed numerical analysis of fluxon solutions' dependence on boundary conditions in the sine-Gordon equation, linking findings to Josephson junction models.

Findings

Fluxon solutions vary with boundary conditions.

Interconnection between fluxon and constant solutions is established.

Results are relevant for long Josephson junction applications.

Abstract

The fluxon solutions of a boundary problem for the sine-Gordon equation (SGE) are investigated numerically in dependence on the boundary conditions. Interconnection between fluxon and constant solutions is analyzed. Numerical results are discussed in context of the long Josephson junction model.