Nonlinear waves in an anti-Hermitian lattice with cubic nonlinearity
Communications in Nonlinear Science and Numerical Simulation, cilt.83, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 83
- Basım Tarihi: 2020
- Doi Numarası: 10.1016/j.cnsns.2019.105106
- Dergi Adı: Communications in Nonlinear Science and Numerical Simulation
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
- Anahtar Kelimeler: PT-symmetry, Non-Hermitian nonlinear systems
- Kırklareli Üniversitesi Adresli: Evet
Özet
In an anti-Hermitian linear system, all energy eigenvalues are purely imaginary and the corresponding eigenvectors are orthogonal. This implies that no stationary state is available in such systems. We consider an anti-Hermitian lattice with cubic nonlinearity and explore novel nonlinear stationary modes. We discuss that relative population is conserved in a nonreciprocal tight binding lattice with periodical boundary conditions as opposed to parity-time (PT) symmetric lattices. We study nonlinear nonrecipocal dimer, triple and quadrimer models and construct stationary nonlinear modes.