ON THE SOLITON-LIKE INTERACTIONS IN NONDISPERSIVE MEDIA

Abstract

Seymour and Varley [1] analyse certain media whose responses are governed by the nonlinear nondispersive wave equation, in which any two pulses traveling in opposite directions interact nonlinearly for a finite time when they collide but then part unaffected by the interaction. Clearer, when any two pulses are traveling in opposite directions meet and interact, they emerge from the interaction region unchanged by the interaction. This interaction is similar to those that occurs when two solitons collide. The main difference is that solitons are represented by waves of permanent form whose profiles are specific. The waves described by Seymour and Varley distort as they propagate, and are of arbitrary shape and amplitude. Since such media transmit waves that do not remember the interaction process, they are called DRIP media.