Jacobian Elliptic Function Calculation to the Nonlinear Equations Related to Lumped LC Networks

Abstract

A Self-dual and other network equations are derived through the transformations of the non-linear difference-differential equations. The soliton train solutions of the former are obtained from the elliptic function solutions of the latter by these transformations. The soliton train of the self-dual network equation is found to be characterized by an arbitrary parameter 0 in addition to the wave number K.