title: Experimental observation of the generation of cutoff solitons in a discrete LC nonlinear electrical line.
abstract: We address the problem of supratransmission of waves in a discrete nonlinear system, driven at one end by a periodic excitation at a frequency lying above the phonon band edge. In an experimental electrical transmission line made of 200 inductance-capacitance LC cells, we establish the existence of a voltage threshold for a supratransmission enabling the generation and propagation of cut-off solitons within the line. The decisive role of modulational instability in the onset and development of the process of generation of cut-off solitons is clearly highlighted. The phenomenon of dissipation is identified as being particularly harmful for the soliton generation, but we show that its impact can be managed by a proper choice of the amplitude of the voltage excitation of the system.
authors.affiliation: Université de Lyon, CREATIS, CNRS UMR 5220, Inserm U1044, INSA-Lyon, Université Lyon 1, 69622 Villeurbanne Cedex, France.
authors.forename: K Tse Ve
authors.initials: KT
authors.lastname: Koon
authors.affiliation: Laboratoire LEII, UMR CNRS No. 5158, Université de Bourgogne, B.P. 47870, 21078 Dijon, France.
authors.forename: P
authors.initials: P
authors.lastname: Marquié
authors.affiliation: Laboratoire Interdisciplinaire Carnot de Bourgogne (ICB), UMR CNRS No. 6303, Université de Bourgogne, B.P. 47870, 21078 Dijon, France.
authors.forename: P Tchofo
authors.initials: PT
authors.lastname: Dinda