  Bound states in continuum (BICs) are localized states of a system possessing
significantly large life times with applications across various branches of
science. In this work, we propose an expedient protocol to engineer BICs which
involves the use of Kerr nonlinearities in the system. The generation of BICs
is a direct artifact of the nonlinearity and the associated expansion in the
dimensionality of the system. In particular, we consider single and two mode
anharmonic systems and provide a number of solutions apposite for the creation
of BICs. In close vicinity to the BIC, the steady state response of the system
is immensely sensitive to perturbations in natural frequencies of the system
and we illustrate its propitious sensing potential in the context of
experimentally realizable setups for both optical and magnetic nonlinearities.
