Solitons in PT-symmetric nonlinear lattices
TLDR
The existence of localized modes supported by the PT-symmetric nonlinear lattices is reported in this article, and the system considered reveals unusual properties: unlike other typical dissipative systems, it possesses families (branch) of solutions, which can be parametrized by the propagation constant.Abstract:
The existence of localized modes supported by the $\mathcal{PT}$-symmetric nonlinear lattices is reported. The system considered reveals unusual properties: unlike other typical dissipative systems, it possesses families (branches) of solutions, which can be parametrized by the propagation constant; relatively narrow localized modes appear to be stable, even when the conservative nonlinear lattice potential is absent; and finally, the system supports stable multipole solutions.read more
Citations
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Journal ArticleDOI
Nonlinear waves in PT -symmetric systems
TL;DR: The concept of parity-time symmetric systems is rooted in non-Hermitian quantum mechanics where complex potentials obeying this symmetry could exhibit real spectra as discussed by the authors, which has applications in many fields of physics, e.g., in optics, metamaterials, acoustics, Bose-Einstein condensation, electronic circuitry, etc.
Journal ArticleDOI
Non-Hermitian Physics
TL;DR: In this article, a review of non-Hermitian classical and quantum physics can be found, with an overview of how diverse classical systems, ranging from photonics, mechanics, electrical circuits, acoustics to active matter, can be used to simulate non-hermitian wave physics.
Journal ArticleDOI
Optical spatial solitons: historical overview and recent advances
TL;DR: A brief overview of optical spatial solitons is provided, which will cover a variety of issues pertaining to self-trapped waves supported by different types of nonlinearities, as well as various families of spatialsolitons such as optical lattice soliton and surface solitONS.
Journal ArticleDOI
Stability analysis for solitons in PT-symmetric optical lattices
TL;DR: In this article, the stability of solitons in parity-time (PT)-symmetric periodic potentials (optical lattices) is analyzed in both one-and two-dimensional systems.
Journal ArticleDOI
Stability of solitons in parity-time-symmetric couplers
Rodislav Driben,Boris A. Malomed +1 more
TL;DR: In this paper, families of analytical solutions are found for symmetric and antisymmetric solitons in a dual-core system with Kerr nonlinearity and parity-time (PT)-balanced gain and loss.
References
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Book
Solitons : nonlinear pulses and beams
Nail Akhmediev,Adrian Ankiewicz +1 more
TL;DR: In this article, the influence of higher-order dispersion on solitons was studied in the presence of gain, loss, and spectral filtering in a birefringent media.