We consider a system of nonlinear spinor and scalar fields with minimal coupling in general
relativity. The nonlinearity in the spinor field Lagrangian is given by an arbitrary function of …

Static, cylindrically symmetric solutions to nonlinear scalar-Einstein equations are
considered. Regularity conditions on the symmetry axis and flat or string asymptotic …

We consider a system of minimally coupled nonlinear spinor and scalar fields within the
scope of a plane-symmetric gravitational field. The gravitational field plays crucial role in the …

Taking into account the proper gravitational field of the elementary particles, we have firstly
determined the exact, static, spherical, symmetric solutions of the nonlinear electromagnetic …

In this paper, we have used the static spherical symmetric metric. The parameter of the
nonlinearity fields is included in the arbitrary function characterizing the interaction between …

This research work is related to soliton solutions considered as models that can describe the
complex configuration of elementary particles from the study of the interactions of their fields …

It is shown that, in nonlinear (in particular, Born-Infeld) electrodynamics in the framework of
general relativity, there exist “weakly singular” configurations such that (i) the proper mass M …

In this work, exact analytical static spherical symmetric solutions to the nonlinear interacting
electromagnetic and massless scalar fields equation have been determined taking into …

We consider a system of nonlinear spinor and scalar fields with minimal coupling in general
relativity. The nonlinearity in the spinor field Lagrangian is given by an arbitrary function of …

In the case of non-compact space we consider the quantum affine Toda systems in the
operator approach. We introduce quantum analogues of the systems of equations as well as …