Nonclassical perturbation approach to a nonlinear multiparameter eigenvalue problem arising in electromagnetics

DOI10.1002/MMA.9244OpenAlexW4367055125MaRDI QIDQ6178253

Dmitry V. Valovik, Valeria Martynova

Publication date: 18 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.9244

zbMATH Keywords

ordinary differential equationsMaxwell's equationsnonlinear eigenvalue problemtwo-parameter eigenvalue problemnonlinear permittivitynonpertubative solutionsintegral characteristic equation

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Perturbations of nonlinear operators (47H14) Maxwell equations (35Q61)

Cites Work

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• The nonlinear Schrödinger equation. Singular solutions and optical collapse
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• On spectral properties of the Sturm-Liouville operator with power nonlinearity
• Study of a nonlinear eigenvalue problem by the integral characteristic equation method
• Propagation of electromagnetic waves in an open planar dielectric waveguide filled with an nonlinear medium. I: TE waves
• Perturbation method in the theory of propagation of two-frequency electromagnetic waves in a nonlinear waveguide. I: TE-TE waves
• Asymptotical analysis of a nonlinear Sturm–Liouville problem: Linearisable and non-linearisable solutions
• Problem of nonlinear coupled electromagnetic TE-TE wave propagation

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