%0 Journal Article %T Mapping Between Nonlinear Sch£¿dinger Equations with Real and Complex Potentials %A Mario Salerno %J Physics %D 2013 %I arXiv %X A mapping between stationary solutions of nonlinear Sch\"odinger equations with real and complex potentials is constructed and a set of exact solutions with real energies are obtained for a large class of complex potentials. As specific examples we consider the case of the damped dynamics of a quantum harmonic oscillator and the case of dissipative periodic soliton solutions of the nonlinear Schr\"odinger equation with complex potential. %U http://arxiv.org/abs/1306.3643v1