Localized solutions for a nonlocal discrete NLS equation

DOI10.1016/j.physleta.2015.04.012zbMath1343.35210OpenAlexW2082738628MaRDI QIDQ304373

Roberto I. Ben, Panayotis Panayotaros, Antonmaria A. Minzoni, Luis A. Cisneros-Ake

Publication date: 25 August 2016

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2015.04.012

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) NLS equations (nonlinear Schrödinger equations) (35Q55) Partial difference equations (39A14) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (3)

On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice ⋮ Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols ⋮ Wannier functions and discrete NLS equations for nematicons

Cites Work

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• Internal modes of discrete solitons near the anti-continuum limit of the dNLS equation
• Stability theory of solitary waves in the presence of symmetry. I
• Continuation and bifurcations of breathers in a finite discrete NLS equation
• Solitary waves in nematic liquid crystals
• Stability of discrete solitons in nonlinear Schrödinger lattices
• Exact and approximate solutions for optical solitary waves in nematic liquid crystals
• Periodic oscillations of discrete NLS solitons in the presence of diffraction management
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Excitation thresholds for nonlinear localized modes on lattices

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