Theoretical and experimental studies of lattice solitons in nonlinear lumped networks

We have observed, by using a nonlinear lumped LC network, the fundamental properties of solitons indicated by Zabusky and Kruskal, where 1) an initial pulselike disturbance breaks into many solitons, 2) a soliton of high amplitude travels faster than one of low amplitude, and 3) solitons preserve their identities after interacting with each other nonlinearly. Some of the fundamental properties of solitons are explained physically in terms of properties of the nonlinear LC network, and are demonstrated mathematically by establishing analytical expressions for solitons in a particular network.