Nonlinear Modes and Symmetries in Linearly Coupled Pairs of PT-Invariant Dimers

DOI10.1111/SAPM.12038zbMath1305.82016arXiv1312.3376OpenAlexW2963022091MaRDI QIDQ2933143

Kai Li, Boris A. Malomed, Panayotis G. Kevrekidis

Publication date: 10 December 2014

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3376

zbMATH Keywords

bifurcationsymmetry breakingdimers

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Unnamed Item
• \({\mathcal{PT}}\)-symmetric periodic optical potentials
• Nonlinear dynamics in PT-symmetric lattices
• Physical realization of -symmetric potential scattering in a planar slab waveguide
• Nonlinear Schrödinger equation for a ${\mathcal{PT}}$-symmetric delta-function double well
• Nonlinear $ \mathcal {PT}$-symmetric plaquettes

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