Horseshoes for coupled discrete nonlinear Schrödinger equations

DOI10.1063/1.3077226zbMath1202.37025OpenAlexW2032838674MaRDI QIDQ3650442

Shih-Feng Shieh

Publication date: 14 December 2009

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

Full work available at URL: https://doi.org/10.1063/1.3077226

zbMATH Keywords

nonlinear differential equationsSchrödinger equation

Mathematics Subject Classification ID

Lasers, masers, optical bistability, nonlinear optics (78A60) Additive difference equations (39A10) Dynamical systems with hyperbolic orbits and sets (37D05) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (2)

Wave propagation for a two-component lattice dynamical system arising in strong competition models ⋮ Characterization of soliton solutions in 2D nonlinear Schrödinger lattices by using the spatial disorder

Cites Work

• Exact solitary- and periodic-wave modes in coupled equations with saturable nonlinearity
• Phase separation of multi-component Bose-Einstein condensates in optical lattices
• Exponential times in the one-dimensional Gross-Pitaevskii equation with multiple well potential
• Bifurcation analysis of a two-component Bose-Einstein condensate
• Matrix Analysis
• Homoclinic orbits and localized solutions in nonlinear Schrödinger lattices

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