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New exact solution class of Born -- Infeld type nonlinear scalar field modelis obtained. The variational principle of this model has a specific form whichis characteristic for extremal four-dimensional hypersurface or hyper-film infive-dimensional space-time. Obtained solutions are singular solitonspropagating with speed of light and having energy, momentum, and angularmomentum which can be calculated for explicit conditions. Such solitons will becalled the lightlike ones. The soliton singularity has a form of movingtwo-dimensional surface or shell. The lightlike soliton can have a set oftubelike singular shells with the appropriate cavities. A twisted lightlikesoliton is considered. It is notable that its energy is proportional to itsangular momentum in high-frequency approximation. A case with one tubelikecavity is considered. In this case the soliton shell is diffeomorphic to acylindrical surface with threads by multifilar helix. The shell transverse sizeof the appropriate finite energy soliton can be converging to zero at infinity.The ideal gas of such lightlike solitons with minimal twist parameter isconsidered in a finite volume. Explicit conditions provide that the angularmomentum of each soliton in the volume equals Planck constant. The equilibriumenergy spectral density for the solitons is obtained. It has the form of Planckdistribution in some approximation. A beam of the twisted lightlike solitons isconsidered. The representation of arbitrary polarization for the beam with thetwisted lightlike solitons is discussed. It is shown that the effect ofmechanical angular momentum transfer to absorbent by the circularly polarizedbeam can be provided. This effect is well known for photon beam. Thus thesoliton solution which have determinate likeness with photon is obtained inparticular.

Lightlike shell solitons of extremal space-time film