Abstract
The dispersion and amplitude dependence of the recurrence phenomena in Korteweg de Vries (KdV) systems is examined both theoretically and experimentally. In a first theoretical analysis the coupled propagation of two harmonic waves is regarded. The second treatment is based upon a mathematical description of two propagating KdV solitons including the phase shift due to the interaction process. It is concluded that this phase shift reveals an important influence on the recurrence length. Finally, the theoretical results are compared with experimental data from measurements performed on LC transmission lines and with numerical solutions of the KdV equation. An excellent agreement is obtained for a large range of the nonlinear index of the normalized KdV equation.
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