Discrete extreme waves from a single non-hermitian coupling defect


TOMBULOĞLU S.

Physica Scripta, cilt.100, sa.6, 2025 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 100 Sayı: 6
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1088/1402-4896/add4b4
  • Dergi Adı: Physica Scripta
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
  • Anahtar Kelimeler: non-hermitian, rogue, waves, defect, impurity
  • Kırklareli Üniversitesi Adresli: Evet

Özet

In discrete nonlinear systems, rogue waves typically emerge when the system has initial excitations. We consider a nonlinear Hermitian tight-binding lattice with a single localized impurity, modeled by a discrete nonlinear Schrödinger equation. In this study, we assume that the background is initially uniform, and show that a single impurity in the system can lead to the formation of an extreme waves. Our findings suggest that impurity-driven rogue waves can arise without any initial excitation profile, which may have implications for photonic lattices and other engineered nonlinear systems.