Existence of steady-state solutions in a nonlinear photonic lattice model

DOI10.1063/1.3595692zbMath1317.78005OpenAlexW2073014134MaRDI QIDQ5266052

Yuqiong Lei, Shou-Xin Chen

Publication date: 29 July 2015

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

Full work available at URL: https://doi.org/10.1063/1.3595692

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Diffraction, scattering (78A45) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Waves and radiation in optics and electromagnetic theory (78A40) Variational principles of physics (49S05)

Related Items (9)

Existence of vortices in nonlinear optics ⋮ On the existence of optical vortex solitons propagating in saturable nonlinear media ⋮ Schrödinger equations in nonlinear optics ⋮ Canonical systems of partial differential equations ⋮ Photonic lattices ⋮ Deceptive systems of differential equations ⋮ On the steady-state solutions of a nonlinear photonic lattice model ⋮ Steady state solutions for Schrödinger equations governing nonlinear optics ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Dipole and Quadrupole Solitons in Optically Induced Two‐Dimensional Photonic Lattices: Theory and Experiment
• Steady state solutions for nonlinear Schrödinger equation arising in optics
• Discrete nonlinear dynamics of weakly coupled Bose–Einstein condensates

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