Discrete solitons dynamics in PT-symmetric oligomers with complex-valued couplings

Kirikchi, Omar and Karjanto, N. 2021. Discrete solitons dynamics in PT-symmetric oligomers with complex-valued couplings. Nonlinear Dynamics, 103(3), pp. 2769-2782. ISSN 0924-090X [Article]

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Abstract or Description

We consider an array of double oligomers in an optical waveguide device. A mathematical model for the system is the coupled discrete nonlinear Schrödinger equations, where the gain-and-loss parameter contributes to the complex-valued linear coupling. The
array caters to an optical simulation of the paritytime (PT)-symmetry property between the coupled arms. The system admits fundamental bright discrete soliton solutions. We investigate their existence and spectral stability using perturbation theory analysis. These analytical findings are verified further numerically using the Newton–Raphson method and a standard eigenvalue-problem solver. Our study focuses on two natural discrete modes of the solitons: single- and double-excited-sites, also known as onsite and intersite modes, respectively. Each of these modes acquires three distinct configurations between the dimer arms, i.e., symmetric, asymmetric, and antisymmetric. Although both intersite and onsite discrete solitons are generally unstable, the latter can be stable, depending on the combined values of the propagation constant, horizontal linear coupling coefficient, and gain–loss parameter.

Item Type:

Article

Identification Number (DOI):

https://doi.org/10.1007/s11071-021-06217-5

Keywords:

Dimer and oligomer, PT -symmetry, Discrete NLS equation, Bright soliton, Onsite and intersite modes, Dimer arm configuration

Departments, Centres and Research Units:

Computing

Dates:

DateEvent
19 October 2020Submitted
5 December 2020Accepted
6 February 2021Published Online
February 2021Published

Item ID:

29736

Date Deposited:

17 Feb 2021 10:50

Last Modified:

12 Jun 2021 19:34

Peer Reviewed:

Yes, this version has been peer-reviewed.

URI:

https://research.gold.ac.uk/id/eprint/29736

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