InterJournal Complex Systems, 121
Status: Accepted
Manuscript Number: [121]
Submission Date: 971014
Information transfer between solitary waves in the saturable Schroedinger equation
Author(s): Mariusz Jakubowski ,Ken Steiglitz

Subject(s): CX.07, CX.04, CX.64, CX.21

Category: Brief Article

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 collision depends on the state of $A$ before the collision. This is not the case in the cubic nonlinear Schr"{o}dinger, KdV, and in many other integrable systems. We show by numerical simulation that information can be transferred during collisions in the (nonintegrable) saturable nonlinear Schr"{o}dinger equation. A seemingly complementary feature of collisions in this and similar systems is radiation of energy. We give results which 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.

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