Exact solution for the time-dependent non-Hermitian generalized Swanson oscillator

We produce an exact solution of the Schrödinger equation for the generalized time-dependent Swanson oscillator. The system studied is a non-Hermitian setup characterized by time-dependent complex coefficients. The exact solution is obtained by applying two transformations, and under the right choice of the relevant parameters. Consequently, the model is reduced to a time-independent harmonic oscillator.