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It is known that multidimensional complex potentials obeying parity-time(PT)symmetry may possess all real spectra and continuous families of solitons. Recently, it was shown that for multi-dimensional systems, these features can persist when the parity symmetry condition is relaxed so that the potential is invariant under reﬂection in only a single spatial direction. We examine the existence, stability and dynamical properties of localized modes within the cubic nonlinear Schrödinger equation in such a scenario of partiallyPT-symmetric potential.
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D’Ambroise, Jennie and Kevrekidis, Panayotis G., "Existence, Stability and Dynamics of Nonlinear Modes in a 2D PartiallyPT Symmetric Potential" (2017). Applied Sciences. 1297.