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Solitons in a chain of parity-time-invariant dimmers

Suchkov, Sergey V; Malomed, Boris A; Dmitriev, Sergey V; Kivshar, Yuri


Dynamics of a chain of interacting parity-time-invariant nonlinear dimers is investigated. A dimer is built as a pair of coupled elements with equal gain and loss. A relation between stationary soliton solutions of the model and solitons of the discrete nonlinear Schrödinger (DNLS) equation is demonstrated. Approximate solutions for solitons whose width is large in comparison to the lattice spacing are derived, using a continuum counterpart of the discrete equations. These solitons are mobile,...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: Physical Review E-Statistical, Nonlinear and Soft Matter Physics
DOI: 10.1103/PhysRevE.84.046609


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