Second Order K-dV Soliton on a Nonlinear Transmission Line

Abstract

By using a nonlinear LC transmission line, an experimental study of the properties of solitons concerning their width and velocity has been made to examine the validity of the higher order Korteweg-de Vries (K-dV) theory which is considered up to the second order effects of nonlinearity and dispersion. The theoretical result well agrees with the experimental data for fairly large amplitude region and the range of validity of this theory, in particular, with respect to the width is found to be much enlarged compared with that of the lowest order K-dV theory.