najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2015-6-6-742-750najo-866Research ArticlePAPERS, PRESENTED AT THE CONFERENCEPAPERS, PRESENTED AT THE CONFERENCEMatter wave compactons in deep optical lattices with strong nonlinearity managementSalernoM.

Via Giovanni Paolo II, 84084 Fisciano (SA) 

salerno@sa.infn.itAbdullaevF. Kh.

25200 Kuantan, Pahang 

Dipartimento di Fisica \E.R. Caianiello", CNISM and INFN - Gruppo Collegato di Salerno, Universit`a di SalernoItalyDeparment of Physics, Kulliyyah of Science, International Islamic University MalaysiaMalaysia20151508202566742750Copyright © Salerno M., Abdullaev F., 20252025Salerno M., Abdullaev F.Salerno M., Abdullaev F.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/866

Compacton matter waves are considered in Bose-Einstein condensates (BEC) and in binary BEC mixtures, trapped in deep optical lattices in the presence of strong and rapid periodic time modulations of the atomic scattering length, are considered. For this, we derive vector averaged discrete nonlinear Schr¨odinger equations (DNLSE) and show that compacton solutions of different types can exist as stable excitations. Stability properties are studied by linear analysis and by direct numerical integrations of the DNLSE system.

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