A bilocal periodic problem for the Sturm-Liouville and Dirac operators and some applications to the theory of nonlinear dynamical systems. I

DOI10.1007/BF01058917zbMath0724.35091MaRDI QIDQ5925288

Nikolai N. jun. Bogoliubov, Anatoliy K. Prykarpatsky

Publication date: 1990

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Dirac operatorsisospectral problemscommuting conservation laws

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) PDEs in connection with quantum mechanics (35Q40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (1)

Operator-valued Camassa-Holm systems and their integrability

Cites Work

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• Algebras of symmetries of completely integrable dynamical systems
• Recursion operators and bi-Hamiltonian structures in multidimensions. I
• Bi-Hamiltonian formulation of the Kadomtsev–Petviashvili and Benjamin–Ono equations
• Canonical and Noncanonical Recursion Operators in Multidimensions
• The Recursion Operator of the Kadomtsev‐Petviashvili Equation and the Squared Eigenfunctions of the Schrödinger Operator

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