An algorithm for construction of commuting ordinary differential operators by geometric data

DOI10.1134/S1995080217060117zbMath1387.14097OpenAlexW2769596997WikidataQ115247380 ScholiaQ115247380MaRDI QIDQ1703318

D. A. Pogorelov, Alexander Zheglov

Publication date: 2 March 2018

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

Full work available at URL: https://doi.org/10.1134/s1995080217060117

zbMATH Keywords

Sato theoryKrichever correspondencecommuting ordinary differential operators

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Linear ordinary differential equations and systems (34A30) Relationships between algebraic curves and integrable systems (14H70) Vector bundles on curves and their moduli (14H60) Commutative rings of differential operators and their modules (13N10)

Related Items (3)

Discretization of commuting ordinary differential operators of rank 2 in the case of elliptic spectral curves ⋮ Commuting ordinary differential operators and the Dixmier test ⋮ Commuting elements in the first Weyl algebra over \(\mathbb{Q} \)

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