A mathematical model of optical bistability and the multiplicity of its solutions

DOI10.1016/j.cam.2018.12.001zbMath1427.78022OpenAlexW2903918418WikidataQ128764995 ScholiaQ128764995MaRDI QIDQ2423584

Maria M. Loginova, Vladimir A. Egorenkov, Vyacheslav A. Trofimov

Publication date: 20 June 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.12.001

zbMATH Keywords

Neumann boundary conditionssemiconductornonlinear absorptionoptical bistabilityconservative finite difference schemesolutions multiplicity

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Statistical mechanics of semiconductors (82D37) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (1)

Multi-Stages Iterative Process for Conservative Economic Finite-Difference Schemes Realization for the Problem of Nonlinear Laser Pulse Interaction with a Medium

Cites Work

• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Conservative Finite-Difference Scheme and Two-Stage Iteration Process of its Realization for the 2D Problem of Semiconductor Plasma Generation by Femtosecond Pulse
• Numerical Differential Equations
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