Nonlinear dynamics in PT-symmetric lattices
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Publication:2854117
DOI10.1088/1751-8113/46/36/365201zbMath1284.35402arXiv1307.2973OpenAlexW2110227637MaRDI QIDQ2854117
Dmitry Y. Tyugin, Dmitry E. Pelinovsky, Panayotis G. Kevrekidis
Publication date: 17 October 2013
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.2973
NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lasers, masers, optical bistability, nonlinear optics (78A60)
Related Items (14)
Existence and stability of \(\mathcal{PT}\)-symmetric states in nonlinear two-dimensional square lattices ⋮ Approximate analytical description for the nonlinear ${ \mathcal P }{ \mathcal T }$-symmetric coupled-mode equations ⋮ Dynamics of generalized PT-symmetric dimers with time-periodic gain-loss ⋮ Nonlinear Modes and Symmetries in Linearly Coupled Pairs of PT-Invariant Dimers ⋮ Coupled pendula chains under parametric \(\mathcal{PT}\)-symmetric driving force ⋮ Solitons in \(\mathcal{PT}\)-symmetric SRR dimers chain with alternating electric and magnetic coupling ⋮ Ground states in spatially discrete non-linear Schrödinger models ⋮ Solitons in ${\mathscr{P}}{\mathscr{T}}$-symmetric ladders of optical waveguides ⋮ Kink scattering from a parity-time-symmetric defect in the \(\phi^4\) model ⋮ Global existence of solutions to coupled \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations ⋮ Nonlinear waves in an anti-Hermitian lattice with cubic nonlinearity ⋮ Stability, integrability, and nonlinear dynamics of PT-symmetric optical couplers with cubic cross-interactions or cubic-quintic nonlinearities ⋮ Bright solitons in a \(\mathcal{P} \mathcal{T}\)-symmetric chain of dimers ⋮ Four-Wave Semidiscrete Nonlinear Integrable System with 𝒫𝒯-Symmetry
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