  Solutions of equations of geodesic deviation in three- and four- dimensional
spaces obtained by the inverse scattering transform are considered. It is shown
that in the case of three-dimensional space solutions of geodesic deviation
equations are reduced to solutions of the well-known Zakharov-Shabat problem.
In four- dimensional space system of geodesic deviation equations is associated
with $3\times 3$ matrix Schr\"{o}dinger equation, and dependence on parameters
defined by the nonlinear equations of three-wave interaction.
