The formation, breakup, and temporal compression of strong solitons in a lumped circuit (dispersive) nonlinear LC-transmission line is treated. The strong lumped circuit solitons are characterized by the condition that almost all the signal charges may instantaneously appear on a simple circuit stage and travel much faster than the linear circuit signal speed. Under these conditions, the usual nonlinear Korteweg–de Vries theory of lumped nonlinear transmission lines does not apply. Properties of the soliton structure are derived; in particular, the rate at which energy is radiated for nonuniform parameters (i.e., temporal compression) is calculated and compared with numerical simulation.
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Rosenbluth et al. (1989) studied this question.
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