Soliton-impurity interaction in two Ablowitz-Ladik chains with different coupling

18th International School on Condensed Matter Physics: "Challenges of Nanoscale Science: Theory, Materials, Applications"

Kamburova, R.S.^1 ; Primatarowa, M.T.^1

Georgi Nadjakov Institute of Solid State Physics, Bulgarian Academy of Sciences, Sofia

1784, Bulgaria^1

关键词: Bound soliton;    Coupled nonlinear Schrodinger equation;    Double peak;    Impurity interaction;    Interchain coupling;    Nondispersive coupling;    Single peak;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/558/1/012022/pdf
DOI  :  10.1088/1742-6596/558/1/012022

来源: IOP

【 摘 要 】

The interaction of solitons with point defects in a system of coupled Ablowitz- Ladik (AL) chains is studied numerically. The system is a discrete analog of coupled nonlinear Schrodinger equations. Two types of interchain coupling are investigated: one which admits reduction of the system to the standard integrable AL model (dispersive coupling) and one which couples opposite sites of the chains and does not admit reduction to the AL model (nondispersive coupling). The action of the two coupling types is additive and they can compensate each other in some cases. We have obtained that the single-peak bound soliton-defect solution (attractive impurity) is stable against perturbations, while the double-peak bound soliton-defect solution (repulsive impurity) is unstable and can be easily destroyed. Linear point defects do not influence the period of energy transfer and it is close to the period for the homogeneous case.