KdV hierarchy via Abelian coverings and operator identities

DOI10.1090/btran/30zbMath1408.37115arXiv1802.00052OpenAlexW2962959817MaRDI QIDQ4644968

Peter Yuditskii, Tom VandenBoom, Benjamin Eichinger

Publication date: 9 January 2019

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.00052

zbMATH Keywords

Schrödinger operatorsBaker-Akhiezer functionAbelian integrals

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) 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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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