Periodic oscillations of discrete NLS solitons in the presence of diffraction management

DOI10.1088/0951-7715/21/6/007zbMath1155.35457OpenAlexW2166439658MaRDI QIDQ3507963

Panayotis Panayotaros, Dmitry E. Pelinovsky

Publication date: 24 June 2008

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/21/6/007

zbMATH Keywords

periodic solutionsmulti-peak solutionsnonlinear latticesdiscrete NLS equation

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Partial functional-differential equations (35R10) NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Lattice dynamics; integrable lattice equations (37K60)

Related Items (6)

Localized solutions for a nonlocal discrete NLS equation ⋮ Stationary solutions of discrete Landau-de Gennes theory: \(3 \times 3\) Q-tensor case ⋮ Internal modes of discrete solitons near the anti-continuum limit of the dNLS equation ⋮ Linear stability of breathers of the discrete NLS ⋮ Asymptotic behavior of the coupled nonlinear Schrödinger lattice system ⋮ Global bifurcation of travelling waves in discrete nonlinear Schrödinger equations

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