2001/06/05 by Assia Benabdallah, A. Benabdallah, Jean-Guy Caputo +2
Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Photonic Systems #Photonic and Optical Devices #cond-mat.supr-con
paper · pdf · doi:10.1016/s0167-2789(01)00356-6
27 pages, 10 figures
arxiv created 2001/06/05 · openalex publication_date 2002/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We investigate the interface coupling between the 2D sine-Gordon equation and the 2D wave equation in the context of a Josephson window junction using a finite volume numerical method and soliton perturbation theory. The geometry of the domain as well as the electrical coupling parameters are considered. When the linear region is located at each end of the nonlinear domain, we derive an effective 1D model, and using soliton perturbation theory, compute the fixed points that can trap either a kink or antikink at an interface between two sine-Gordon media. This approximate analysis is validated by comparing with the solution of the partial differential equation and describes kink motion in the 1D window junction. Using this, we analyze steady state kink motion and derive values for the average speed in the 1D and 2D systems. Finally we show how geometry and the coupling parameters can destabilize kink motion.