Bright solitons in a \(\mathcal{P} \mathcal{T}\)-symmetric chain of dimers

DOI10.1155/2016/9514230zbMath1362.39011arXiv1607.05331OpenAlexW2963554416WikidataQ59122597 ScholiaQ59122597MaRDI QIDQ504776

Omar B. Kirikchi, Hadi Susanto, Alhaji A. Bachtiar

Publication date: 17 January 2017

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.05331

zbMATH Keywords

stabilityperturbation theorydiscrete solitonsdiscrete nonlinear Schrödinger equationschain of dimerssoliton blow-upstravelling solitons

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Discrete version of topics in analysis (39A12) Blow-up in context of PDEs (35B44) Ordinary lattice differential equations (34A33) Stability theory for difference equations (39A30)

Related Items (1)

Solitons in ${\mathscr{P}}{\mathscr{T}}$-symmetric ladders of optical waveguides

Cites Work

• Unnamed Item
• Nonlinear dynamics in PT-symmetric lattices
• Non-Hermitian Quantum Mechanics
• Long-time stability of breathers in Hamiltonian ${ \mathcal P }{ \mathcal T }$-symmetric lattices
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• 𝓟𝓣-symmetric quantum mechanics
• Nonlinear modes in a generalized $\mathcal{PT}$-symmetric discrete nonlinear Schrödinger equation

This page was built for publication: Bright solitons in a \(\mathcal{P} \mathcal{T}\)-symmetric chain of dimers