Numerical Study on Wave Propagation in a Branched Lattice of LC Circuit.

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Linear and nonlinear wave propagations of soliton-like pulse waves are studies by solving the second order ordinary differential equations numerically. The model in which the wave propagations are considered is the one-dimensional infinite lattice of an LC (inductor-capacitor) circuit with a branching point. The behaviors of the soliton-like pulse waves before and after passing through the branching point are observed in detail. These observations show that after passing through the point the original waves are split into two, reflected and transmitted, for both the linear and nonlinear cases. Although, in general, the behaviors of these two waves are very complex and difficult to analyze, a theoretical analysis using the continuous approximation to the model is possible in some cases.

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