\(Y\)-mapping method for nonlinear eigenvalue problems

DOI10.1134/S1995080222080315zbMath1498.78015MaRDI QIDQ2675047

Yury G. Smirnov

Publication date: 20 September 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectrumnonlinear eigenvalue problemsmathematical physics\(Y\)-mapping methodnonlinear layer

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Antennas, waveguides in optics and electromagnetic theory (78A50) Waves and radiation in optics and electromagnetic theory (78A40) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• Nonlinear effects of electromagnetic TM wave propagation in anisotropic layer with Kerr nonlinearity
• A nonlinear multiparameter EV problem
• Nonlinear coupled wave propagation in a \(n\)-dimensional layer
• Dual variational methods in critical point theory and applications
• Nonlinear multiparameter eigenvalue problems: linearised and nonlinearised solutions
• Coupled electromagnetic TE-TM wave propagation in a layer with Kerr nonlinearity
• Three Sources and Three Component Parts of the Concept of Dissipative Solitons
• Coupled electromagnetic transverse-electric–transverse magnetic wave propagation in a cylindrical waveguide with Kerr nonlinearity
• Problem of nonlinear coupled electromagnetic TE-TE wave propagation
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