TY - JOUR
T1 - Dynamics of higher-order solitons in regular and PT -symmetric nonlinear couplers
AU - Driben, R.
AU - Malomed, B. A.
PY - 2012/9
Y1 - 2012/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84866705320&partnerID=8YFLogxK
U2 - 10.1209/0295-5075/99/54001
DO - 10.1209/0295-5075/99/54001
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AN - SCOPUS:84866705320
SN - 0295-5075
VL - 99
JO - Journal de Physique (Paris), Lettres
JF - Journal de Physique (Paris), Lettres
IS - 5
M1 - 54001
ER -