A Note on the Appearance of the Simplest Antilinear ODE in Several Physical Contexts

We review several one-dimensional problems such as those involving linear Schrödinger equation, variable-coefficient Helmholtz Zakharov–Shabat system and Kubelka–Munk equations. show that they all can be reduced to solving one simple antilinear ordinary differential equation u′x=fxux¯ or its nonhomogeneous version u′x=fxux¯+gx, x∈0,x0⊂R. point out some of the advantages proposed reformulation call for further investigation obtained ODE.