Dynamics of higher-order solitons in regular and PT -symmetric nonlinear couplers

R. Driben*, B. A. Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

Dynamics of symmetric and antisymmetric 2-solitons and 3-solitons is studied inthe model of the nonlinear dual-core coupler and its PT -symmetric version. Regions of the convergence of the injected perturbed symmetric and antisymmetric N-solitons into symmetric and asymmetric quasi-solitons are found. In the PT -symmetric system, with the balanced gain and loss acting in the two cores, borders of the stability against the blowup are identified. Notably, in all the cases the stability regions are larger for antisymmetric 2-soliton inputs than for their symmetric counterparts, on the contrary to previously known results for fundamental solitons (N = 1). Dynamical regimes (switching) are also studied for the 2-soliton injected into a single core of the coupler. In particular, a region of splitting of the input into a pair of ymmetric solitons is found, which is explained as a manifestation of the resonance between the vibrations of the 2-soliton and oscillations of energy between the two cores in the coupler.

Original languageEnglish
Article number54001
JournalJournal de Physique (Paris), Lettres
Volume99
Issue number5
DOIs
StatePublished - Sep 2012

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