Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. I

DOI10.1007/BF01018296zbMath0653.34017OpenAlexW4245573652MaRDI QIDQ1107692

A. K. Pogrebkov, V. A. Arkad'ev, M. K. Polivanov

Publication date: 1987

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01018296

zbMATH Keywords

scattering dataIost solutionspotential of the Sturm-Liouville problem

Mathematics Subject Classification ID

Ordinary differential operators (34L99)

Related Items

Initial value problem of the linearized Benjamin–Ono equation and its applications ⋮ Perturbation of the Korteweg-de Vries soliton ⋮ On an application of Crum–Krein transform to expansions in products of solutions of two Sturm–Liouville equations ⋮ Multidimensional localized solitons.

Cites Work

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• Poisson structure for the KdV equation
• Asymptotic distribution of eigenvalues for the multidimensional Schrödinger equation
• Iterative solution of the inverse Sturm-Liouville problem

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