Concepedia
Journal of Dynamics and Differential Equations · 2019 · 68 citations · 34 references
Elliptic EquationPotential TheoryGround State SolutionsNon-periodic PotentialsOscillation TheoryIntegrable SystemNonlinear Functional Analysis
34
Discretizing light behaviour in linear and nonlinear waveguide lattices
Demetrios N. Christodoulides, F. Lederer, Yaron Silberberg · Nature · 2003 · 1.6K citations
Photonics, Light Behaviour, Engineering +5
Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices
Jason W. Fleischer, Mordechai Segev, Nikolaos K. Efremidis et al. · Nature · 2003 · 1.3K citations
Quantum Science, Photonics, Two-dimensional Discrete Solitons +9
Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
Robert S. MacKay, S. Aubry · Nonlinearity · 1994 · 980 citations
Hamiltonian Theory, Broad Range, Localized Solutions +6
Discrete breathers — Advances in theory and applications
Sergej Flach, A. V. Gorbach · Physics Reports · 2008 · 950 citations
Ventilation, Discrete Breathers, Pulmonary Physiology +1
Breathers in nonlinear lattices: Existence, linear stability and quantization
Serge Aubry · Physica D Nonlinear Phenomena · 1997 · 782 citations
Lattice Theory, Integrable System, Quantum Lattice System +1