We consider the asymmetric active coupler (AAC) consisting of two coupled dissimilar waveguides with
gain and loss. We show that under generic conditions, not restricted by parity-time symmetry, there
exist finite-power, constant-intensity nonlinear supermodes (NS), resulting from the balance between
gain, loss, nonlinearity, coupling and dissimilarity. The system is shown to possess non-reciprocal
dynamics enabling directed power transport functionality.