Spectral parameter power series for Sturm-Liouville equations with a potential polynomially dependent on the spectral parameter and Zakharov-Shabat systems

DOI10.1063/1.4927253zbMath1328.34024arXiv1401.1520OpenAlexW3104314374MaRDI QIDQ5500769

Vladislav V. Kravchenko, Sergii M. Torba, Ulises Velasco-García

Publication date: 10 August 2015

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

Full work available at URL: https://arxiv.org/abs/1401.1520

zbMATH Keywords

Zakharov-Shabat systemone-dimensional Dirac systemenergy-dependent Sturm-Liouville equationsdamped string equationspencil of Sturm-Liouville operatorsSchrödinger operators with energy depending potentials

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24)

Related Items (7)

On Sturm-Liouville equations with several spectral parameters ⋮ Analytic approximation of transmutation operators and related systems of functions ⋮ Riemann–Hilbert problem for the Fokas–Lenells equation in the presence of high-order discrete spectrum with non-vanishing boundary conditions ⋮ Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems ⋮ Recovery of a quadratic analytic pencil ⋮ Spectral parameter power series representation for solutions of linear system of two first order differential equations ⋮ Effective numerical method of spectral analysis of quantum graphs

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