On the steady-state solutions of a nonlinear photonic lattice model

DOI10.1063/1.4914333zbMath1308.78019OpenAlexW2008596003MaRDI QIDQ5245219

Qiang Ren, Chun-gen Liu

Publication date: 7 April 2015

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

Full work available at URL: https://doi.org/10.1063/1.4914333

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Diffraction, scattering (78A45) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Systems of nonlinear higher-order PDEs (35G50)

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Cites Work

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• Infinite dimensional Morse theory and multiple solution problems
• Minimax theorems
• Differential Topology
• Existence of steady-state solutions in a nonlinear photonic lattice model
• Photonic lattices