Stationary solitary signals with eigenfrequencies in the gap of the linear spectrum are considered for a bi-inductance electrical transmission line. The evolution of these localized waves is studied in the phase plane and analytical expressions are obtained. Moreover, theoretical and numerical examinations of the stability of these nonlinear waves which appear as kink or antikink solitons, show that they are long-lived nonlinear excitations of the bi-inductance line. [References: 10]
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