Mh. Jakubowski et al., INFORMATION-TRANSFER BETWEEN SOLITARY WAVES IN THE SATURABLE SCHRODINGER-EQUATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(6), 1997, pp. 7267-7272
In this paper we study the transfer of information between colliding s
olitary waves. By this we mean the following: The state of a solitary
wave is a set of parameters, such as amplitude, width, velocity, or ph
ase, that can change during collisions. We say information is transfer
red during a collision of solitary waves A and B if the state of B aft
er the collision depends on the state of A before the collision. This
is not the case in the cubic nonlinear Schrodinger, Korteweg-de Vries,
and many other integrable systems. We show by numerical simulation th
at information can be transferred during collisions in the (nonintegra
ble) saturable nonlinear Schrodinger equation. A seemingly complementa
ry feature of collisions in this and similar systems is radiation of e
nergy. We give results that show that significant information can be t
ransferred with radiation no greater than a few percent. We also discu
ss physical realization using recently described spatial solitary ligh
t waves in a saturable glass medium.