  The non-Hermitian skin effect (NHSE) is a well-known phenomenon in open
topological systems that causes a large number of eigenstates to become
localized at the boundary. Although many aspects of its theory have been
investigated in linear systems, this phenomenon remains novel in nonlinear
models. In the first step of this paper, we look at the conditions for the
presence of quasi-skin modes in a semi-infinite, one-dimensional, nonlinear,
nonreciprocal lattice. In the following phase, we explore the survival time of
the quasi-skin mode in a finite nonlinear lattice with open edges. We study the
dependency of the survival time on the system's parameters and demonstrate how
the nonreciprocity of the system affects the survival time. This study
introduces a method for achieving a stable localized state in a nonlinear
finite lattice.
