  In this paper, we analyze kink-like analytical solutions in a real scalar
theory with an arcsin dynamics inspired by the arcsin electrodynamics presented
in Kruglov (2015). This analysis is done by means of the first-order formalism.
This formalism provides a framework where the equations of motion can be
simplified by preserving the linear stability of the theory. In this work, the
deformation procedure is implemented with the aim of finding exact solutions in
systems with generalized dynamics. Along with the paper, we explore how the
first-order formalism is implemented in the arcsin kinetics and how such a term
influences the kink-like solutions. As a part of the result of our paper, we
show that the kink-like solutions are similar to the ones obtained in the
standard scalar kinetic theory. We also show that the extra parameter, that
controls the non-linearities of the model, plays an essential role in the
energy densities and stability potentials. These quantities vary according to
this parameter. The goals here are to show how the first-order framework is
implemented in this arcsin scenario and to present the analytical kink-like
solutions that can be found by means of the first-order framework and
deformation method.
