Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.13087/1794
Title: Nonlinear waves in an anti-Hermitian lattice with cubic nonlinearity
Authors: Tombuloğlu, S.
Yüce, Cem
Keywords: PT-symmetry
Non-Hermitian nonlinear systems
Issue Date: 2020
Publisher: Elsevier
Abstract: 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. (C) 2019 Elsevier B.V. All rights reserved.
URI: https://doi.org/10.1016/j.cnsns.2019.105106
https://hdl.handle.net/20.500.13087/1794
ISSN: 1007-5704
1878-7274
Appears in Collections:Kimya Mühendisliği Bölümü Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu

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