Soliton transmission and reflection due to the inhomogeneity

A new approach to nonlinear wave in one-dimensional discontinuous fluid-fil led elastic tube is presented. As a model, an elastic tube which has a disc ontinuity of radius, thickness and Young's modulus is considered. The incid ent, reflected and transmitted waves are described by KdV equations. The re flected and transmitted waves are constructed from incident wave analytical ly. Fission and reflection of a soliton due to the discontinuity are explic itly shown in the lowest order.