Long-time stability of breathers in Hamiltonian ${ \mathcal P }{ \mathcal T }$-symmetric lattices

DOI10.1088/1751-8113/49/47/475201zbMath1355.82021arXiv1606.02333OpenAlexW3121937878MaRDI QIDQ3181138

Dmitry E. Pelinovsky, Alexander Chernyavsky

Publication date: 22 December 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.02333

zbMATH Keywords

nonlinear stabilityLyapunov methodbreathers\(\mathcal{P}{T}\)-symmetry

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Soliton solutions (35C08)

Related Items (6)

Krein signature for instability of \(\mathcal{PT}\)-symmetric states ⋮ Coupled pendula chains under parametric \(\mathcal{PT}\)-symmetric driving force ⋮ Solitons in ${\mathscr{P}}{\mathscr{T}}$-symmetric ladders of optical waveguides ⋮ Solitons in a Hamiltonian $\newcommand{\PT}{\mathcal{ PT}}{\boldsymbol \PT}$ -symmetric coupler ⋮ Bright solitons in a \(\mathcal{P} \mathcal{T}\)-symmetric chain of dimers ⋮ Supratransmission in transversely connected nonlinear pendulum pairs

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