Nonstationary solutions with localized energy of the system of Einstein and nonlinear scalar field equations

Obtained is the soliton-like non-stationary solution as a travelling wave of the equation self-consistent system of the Einstein gravitational field and non-linear scalar field of Born-Infeld type in a conformal-plane metric. This solution is localized in space and possesses localized energy. It is shown that gravitational field as well as non-linearity of the scalar field are essential for the presence of this localized solution