Computer experiments on solitons in a nonlinear transmission line. I. Formation of stable solitons

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Abstract
Computer experiments have been performed to study the formation and propagation processes of solitons in a nonlinear transmission line composed of 21 LC-circuit sections. A solitonlike wave form already appears at the first section (or stage) and a stable soliton, which propagates without changing line shape and intensity, is formed, depending on the area of the input pulse. One soliton and subsequently two, three, and multiple solitons are generated as the area is increased. The minimum area to generate a stable soliton is found to be 0.50 μsec V, a value consistent with the thresholds for one-, two-, three-, and multiple-soliton generation. Discussion is given of the low-amplitude oscillation appearing behind the soliton wave form and also of the relative strengths of the nonlinear effect and the dispersion effect.