Abstract
New current modified Schrödinger equations are derived suited to study waves on both potential and non-potential inhomogeneous currents. Split-step schemes of first, second, and fourth order are discussed. Different results are presented regarding the current terms and the model setup. This paper mainly serve as background information for Hjelmervik & Trulsen (2009), but the current modified Schrödinger equations and model setup presented here are expected to have an even larger range of application possibilities.