Nonlinear skin modes in a non-Hermitian Ablowitz–Ladik-type lattice


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TOMBULOĞLU S.

Physica Scripta, cilt.101, sa.24, 2026 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 101 Sayı: 24
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1088/1402-4896/ae703b
  • Dergi Adı: Physica Scripta
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
  • Anahtar Kelimeler: non-Hermitian, Ablowitz-Ladik equation, NHSE, nonlinear skin modes
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Kırklareli Üniversitesi Adresli: Evet

Özet

The non-Hermitian skin effect (NHSE) has been mostly studied in linear lattices. In nonlinear settings, most studies focus on non-integrable models, while nonlinear lattices with an integrable structure remain less explored. In this study, we examine stationary boundary-localized states in a non-Hermitian nonlinear Ablowitz–Ladik (AL) lattice under open boundary conditions. We show numerically that boundary localization also persists in a nonlinear AL-type lattice, which is integrable in the Hermitian limit. These findings suggest that such an AL-type lattice provides a simple framework for NHSE-type boundary localization.