Inviscid burgers\’ equation and riemann waves in optics
Year: 2016
Authors: Wetzel B., Bongiovanni D., Kues M., Hu Y., Chen Z., Trillo S., Dudley J.M., Wabnitz S., Morandotti R.
Autors Affiliation: Institut National de la Recherche Scientifique, Université du Québec, Varennes, QC J3X 1S2, Canada; School of Mathematical and Physical Sciences, University of Sussex, Sussex House, Falmer, Brighton, BN1 9RH, United Kingdom; TEDA Applied Physics Institute and School of Physics, Nankai University, Tianjin, 300457, China; Department of Physics and Astronomy, San Francisco State University, San Francisco, CA 94132, United States; Dipartimento di Ingegneria, Università di Ferrara, Via Saragat 1, Ferrara, 44122, Italy; Institut FEMTO-ST, UMR 6174 CNRS-Université de Franche-Comté, Besançon, 25030, France; Dipartimento di Ingegneria dell\’Informazione, Università degli Studi di Brescia, INO-CNR, via Branze 38, Brescia, I-25123, Italy
Abstract: We report on the experimental observation of inviscid Burgers\’ equation dynamics and Riemann wave formation when a properly tailored optical pulse is coupled into a nonlinear fiber. Experimental results clearly show controllable pulse front steepening and shock formation.
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KeyWords: Nonlinear equations, Burgers\’ equations; Non-linear fiber; Pulse front; Riemann waves; Shock formation, Nonlinear opticsDOI: 10.1364/NP.2016.NT5A.3