Integral dispersion equation method in the problem on nonlinear waves in a circular waveguide

DOI10.1134/S0012266121100086zbMath1479.78022OpenAlexW4200071533WikidataQ115249171 ScholiaQ115249171MaRDI QIDQ2064225

Yury G. Smirnov

Publication date: 5 January 2022

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266121100086

zbMATH Keywords

waveguidenonlinear mediumKerr's law

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40) Maxwell equations (35Q61)

Cites Work

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• Nonlinear effects of electromagnetic TM wave propagation in anisotropic layer with Kerr nonlinearity
• Integral dispersion equation method for nonlinear eigenvalue problems
• Eigenvalue transmission problems describing the propagation of TE and TM waves in two-layered inhomogeneous anisotropic cylindrical and planar waveguides
• Integral Equation Approach for the Propagation of TE-Waves in a Nonlinear Dielectric Cylindrical Waveguide
• Three Sources and Three Component Parts of the Concept of Dissipative Solitons
• Nonlinear transmission eigenvalue problem describing TE wave propagation in two-layered cylindrical dielectric waveguides

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