Standing waves to discrete vector nonlinear Schrödinger equation

DOI10.1080/10236191003639467zbMath1244.35139OpenAlexW1980415355MaRDI QIDQ3093755

Min-Bo Yang

Publication date: 18 October 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236191003639467

zbMATH Keywords

critical point theorystanding wavesasymptotically periodicdiscrete vector Schrödinger equationperiodic nonlinearities

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Cites Work

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• Ground state solutions for a periodic Schrödinger equation with superlinear nonlinearities
• The discrete self-trapping equation
• Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach
• Optical gap solitons: Past, present, and future; theory and experiments
• On a semilinear Schrödinger equation with periodic potential
• Excitation thresholds for nonlinear localized modes on lattices
• AN ASYMPTOTICALLY PERIODIC SCHRÖDINGER EQUATION WITH INDEFINITE LINEAR PART
• Gap solitons in periodic discrete nonlinear Schrödinger equations
• On almost-periodic operators in the spaces of sequences
• On some discrete variational problems