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Perturbation Method in the Theory of Propagation of Two-Frequency Electromagnetic Waves in a Nonlinear Waveguide I: TE-TE Waves.
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- Computational Mathematics & Mathematical Physics, 2021, v. 61, n. 1, p. 103, doi. 10.1134/S0965542521010097
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Propagation of Electromagnetic Waves in an Open Planar Dielectric Waveguide Filled with a Nonlinear Medium II: TM Waves.
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- Computational Mathematics & Mathematical Physics, 2020, v. 60, n. 3, p. 427, doi. 10.1134/S0965542520030161
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- Article
Propagation of Electromagnetic Waves in an Open Planar Dielectric Waveguide Filled with an Nonlinear Medium I: TE Waves.
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- Computational Mathematics & Mathematical Physics, 2019, v. 59, n. 6, p. 958, doi. 10.1134/S0965542519060137
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On the Existence of an Infinite Number of Eigenvalues in One Nonlinear Problem of Waveguide Theory.
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- Computational Mathematics & Mathematical Physics, 2018, v. 58, n. 10, p. 1600, doi. 10.1134/S0965542518100135
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On a Nonclassical Eigenvalue Problem with Nonlinearizable Solutions.
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- Differential Equations, 2023, v. 59, n. 3, p. 301, doi. 10.1134/S0012266123030023
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- Article
Integral Characteristic Function of a Nonlinear Sturm–Liouville Problem.
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- Differential Equations, 2021, v. 57, n. 12, p. 1555, doi. 10.1134/S0012266121120016
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Study of a Nonlinear Eigenvalue Problem by the Integral Characteristic Equation Method.
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- Differential Equations, 2020, v. 56, n. 2, p. 171, doi. 10.1134/S0012266120020032
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- Article
Asymptotic Analysis of a Nonlinear Eigenvalue Problem Arising in the Waveguide Theory.
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- Differential Equations, 2019, v. 55, n. 12, p. 1554, doi. 10.1134/S0012266119120036
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- Article
On a Nonlinear Eigenvalue Problem Related to the Theory of Propagation of Electromagnetic Waves.
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- Differential Equations, 2018, v. 54, n. 2, p. 165, doi. 10.1134/S0012266118020039
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- Article
Guided Electromagnetic Waves Propagating in a Two-Layer Cylindrical Dielectric Waveguide with Inhomogeneous Nonlinear Permittivity.
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- Advances in Mathematical Physics, 2015, v. 2015, p. 1, doi. 10.1155/2015/614976
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- Article
Propagation of TM Waves in a Double-layer Nonlinear Inhomogeneous Cylindrical Waveguide.
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- PIERS Proceedings, 2014, p. 2614
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- Article
Propagation of Electromagnetic Waves along a Nonlinear Inhomogeneous Cylindrical Waveguide.
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- PIERS Proceedings, 2014, p. 1991
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- Article
Projection Method for Solving Scalar Problem of Diffraction of a Plane Wave on a System of Two- and Three-dimensional Obstacles.
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- PIERS Proceedings, 2014, p. 1986
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- Article
New Propagation Regime for Nonlinear Guided Waves: Coupled Electromagnetic TE-TM Wave Propagation.
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- PIERS Proceedings, 2013, p. 285
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- Article
Linearizable and Nonlinearizable Solutions in the Nonlinear Eigenvalue Problem Arising in the Theory of Electrodynamic Waveguides Filled with a Nonlinear Medium.
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- Journal of Mathematical Sciences, 2023, v. 275, n. 5, p. 556, doi. 10.1007/s10958-023-06697-3
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Multiparameter Eigenvalue Problems and Their Applications in Electrodynamics.
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- Journal of Mathematical Sciences, 2022, v. 267, n. 6, p. 677, doi. 10.1007/s10958-022-06173-4
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- Article
Maxwell’s Equations in a Plane Waveguide with Nonhomogeneous Nonlinear Permittivity: Analytical and Numerical Approaches.
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- Journal of Nonlinear Science, 2023, v. 33, n. 6, p. 1, doi. 10.1007/s00332-023-09962-6
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- Article