Showing papers by "Kenneth Steiglitz published in 1997"
TL;DR: In this paper, the authors studied the transfer of information between colliding solitary waves and showed that significant information can be transferred with radiation no greater than a few percent in a non-integrable nonlinear Schr\"odinger equation.
Abstract: In this paper we study the transfer of information between colliding solitary waves. By this we mean the following: The state of a solitary wave is a set of parameters, such as amplitude, width, velocity, or phase, that can change during collisions. We say information is transferred during a collision of solitary waves $A$ and $B$ if the state of $B$ after the collision depends on the state of $A$ before the collision. This is not the case in the cubic nonlinear Schr\"odinger, Korteweg\char21{}de Vries, and many other integrable systems. We show by numerical simulation that information can be transferred during collisions in the (nonintegrable) saturable nonlinear Schr\"odinger equation. A seemingly complementary feature of collisions in this and similar systems is radiation of energy. We give results that show that significant information can be transferred with radiation no greater than a few percent. We also discuss physical realization using recently described spatial solitary light waves in a saturable glass medium.
52 citations