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arXiv · 1701.00553

Existence, Stability & Dynamics of Nonlinear Modes in a 2d Partially $\mathcal{PT}$ Symmetric Potential

J. D'Ambroise·P. G. Kevrekidis
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Abstract

It is known that multidimensional complex potentials obeying $\mathcal{PT}$-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 Schr\"odinger equation in such a scenario of partially $\mathcal{PT}$-symmetric potential.

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J. D'Ambroise, P. G. Kevrekidis. 2017-01-02. Existence, Stability & Dynamics of Nonlinear Modes in a 2d Partially $\mathcal{PT}$ Symmetric Potential. https://arxiv.org/abs/1701.00553

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