najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2019-10-4-391-397najo-510Research ArticleMATHEMATICSМАТЕМАТИКАStability of intersite dark solitons in a parametrically driven discrete nonlinear Schrödinger equationSwamiO. P.

Loonkaransar, Bikaner, Rajasthan, 334603

omg1789@gmail.comKumarV.

Bikaner, Rajasthan, 334001

vijendrasaini2009@gmail.comSutharB.

Nokha, Bikaner, Rajasthan, 334803

bhuvneshwer@gmail.comNagarA. K.

Bikaner, Rajasthan, 334001

ajaya.nagar@gmail.comDepartment of Physics, Government CollegeIndiaDepartment of Physics, Government Dungar CollegeIndiaDepartment of Physics, MLB Government CollegeRussian Federation201905082025104391–397Copyright © Swami O.P., Kumar V., Suthar B., Nagar A.K., 20252025Swami O.P., Kumar V., Suthar B., Nagar A.K.Swami O.P., Kumar V., Suthar B., Nagar A.K.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/510

In this paper, a parametrically driven discrete nonlinear Schrödinger equation will be considered for defocusing case. Analytical and numerical calculations will be performed to determine the existence and stability of intersite dark discrete solitons admitted by discrete nonlinear Schrödinger equation. It will be shown that a parametric driving can stabilizes intersite discrete dark solitons. Stability windows of all the fundamental solitons will be presented and approximations to the onset of instability will be derived using perturbation theory, with accompanying numerical results.

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The authors declare that there are no conflicts of interest present.