2005/05/09 by Рамаз Хомерики, Ramaz Khomeriki, Jerome Leon +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Amplitude #Bistability #Computer science #Control theory (sociology) #Geometry #Hysteresis #Ideal (ethics) #Law #Mathematical analysis #Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Nonlinear system #Optics #Physics #Property (philosophy) #Quantum mechanics #Sine #Sine wave #Soliton #Voltage #cond-mat.stat-mech #nlin.PS #nlin.SI #physics.class-ph #sine-Gordon equation
paper · pdf · doi:10.1103/physreve.71.056620
published as Phys. Rev. E, v.71, 056620 (2005) · Phys. Rev. E, (to be published, May 2005)
arxiv created 2005/05/09 · openalex publication_date 2005/05/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The sine-Gordon equation, used as the representative nonlinear wave equation, presents a bistable behavior resulting from nonlinearity and generating hysteresis properties. We show that the process can be understood in a comprehensive analytical formulation and that it is a generic property of nonlinear systems possessing a natural band gap. The approach allows one to discover that the sine-Gordon equation can work as an ideal switch by reaching a transmissive regime with vanishing driving amplitude.