Solitons in PT-symmetric nonlinear lattices

By F. Abdullaev, Y. Kartashov, Vladimir V. Konotop, Dmitry A. Zezyulin. 2011

263 citations recorded by the source corpus.

The existence of localized modes supported by the $\mathcal{PT}$-symmetric nonlinear lattices is reported. The system considered reveals unusual properties: unlike other typical dissipative systems, it possesses families (branches) of solutions, which can be parametrized by the propagation constant; relatively narrow localized modes appear to be stable, even when the conservative nonlinear lattice potential is absent; and finally, the system supports stable multipole solutions.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5d0af3064d71d298e6f7baed023485ea33610eb3

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Nonlinear waves in PT -symmetric systems (2016, methodology): “This model with a periodic PT -symmetric potential UNL(x) = V0 cos(x) + iW0 sin(x) was introduced by Abdullaev et al. (2011a).”
Nonlinear switching and solitons in PT‐symmetric photonic systems (2015, background): “bilize soliton in focusing media and stabilize it in defocusing one. The case of spatial periodic modulation with Kerrtype nonlinearity also including gain/loss modulation has been considered in Ref. [91]. In this case G(jyj2;x) = V[(x)+iW(x)]jyj2 with zero linear potential and the functionsV(x)andW”