We present a systematic approach to derive an equation describing the propagation of pulses along a transmission line made of a large number of nonlinear LC-circuits. This equation correctly captures the leading order effects due the discreteness of the line and describes a two-sided wave propagation, nonlinear wave-wave interactions, and wave-wall interactions. In contradistinction to previous works, our method is not limited to weakly nonlinear disturbances.
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Philip Rosenau (1986) studied this question.
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