Soliton Transmission and Reflection Due to the Inhomogeneity

A new approach to nonlinear wave in one-dimensional discontinuous fluid-filled elastic tube is presented. As-a model, an elastic tube which has a discontinuity of radius, thickness and Young's modulus is considered. The incident, reffe cted and transmitted waves are described by KdV equations. The reflected and transmitted waves are constructed from incident wave analytically. Fission and reflection of a soliton due to the discontinuity are explicitly shown in the lowest order