Dispersion equation and eigenvalues for the Zakharov-Shabat system using spectral parameter power series

DOI10.1063/1.3602275zbMath1317.35237OpenAlexW2011976550MaRDI QIDQ5266061

Vladislav V. Kravchenko, Ulises Velasco-García

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3602275

Mathematics Subject Classification ID

Related Items (12)

On Sturm-Liouville equations with several spectral parameters ⋮ Complete systems of recursive integrals and Taylor series for solutions of Sturm-Liouville equations ⋮ Modified spectral parameter power series representations for solutions of Sturm-Liouville equations and their applications ⋮ Eigenvalue problems, spectral parameter power series, and modern applications ⋮ Spectral parameter power series method for discontinuous coefficients ⋮ The Wentzel-Kramers-Brillouin approximation of semiclassical eigenvalues of the Zakharov–Shabat problem ⋮ Spectral parameter power series for perturbed Bessel equations ⋮ Professor Vladislav V. Kravchenko: a mathematician and a friend ⋮ Transmutations and Spectral Parameter Power Series in Eigenvalue Problems ⋮ Spectral parameter power series for Sturm-Liouville equations with a potential polynomially dependent on the spectral parameter and Zakharov-Shabat systems ⋮ The heat transfer problem for inhomogeneous materials in photoacoustic applications and spectral parameter power series ⋮ Spectral parameter power series for fourth-order Sturm-Liouville problems

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• Applied Pseudoanalytic Function Theory
• On the Eigenvalues of Zakharov--Shabat Systems
• Spectral parameter power series for Sturm–Liouville problems
• Dispersion equation and eigenvalues for quantum wells using spectral parameter power series
• Variational principle for the Zakharov-Shabat equations

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