EXPERIMENT ON SOLITONS IN THE DISSIPATIVE TODA LATTICE USING NON-LINEAR TRANSMISSION-LINE

Adding dissipative elements to a nonlinear transmission line equivalent to the Toda lattice, we have studied the behavior of a soliton propagating in the dissipative system. The damping rate is found to be explained to large extent by the theory derived from the K-dV equation with a loss term, while its slight dependence on the initial amplitude of the soliton is explained by the theory of the dissipative Toda lattice given by Kako. For a relatively small conductance parallel to the nonlinear capacitor, a somewhat distorted shape of the soliton followed by the long ‘dip on tail’ was observed, which is compared with the theory given by Karpman and Maslov. The ‘bump on tail’ behind the soliton, which is considered as one of the features of the dissipative Toda lattice, was also observed only for the case of connecting a relatively large resistance in series to each inductance. © 1979, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.